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3874409088 = 27311917237
BaseRepresentation
bin1110011011101110…
…1100101010000000
3101000000101101002220
43212323230222000
530413322042323
61440242011040
7165003635214
oct34673545200
911000341086
103874409088
111709003990
12901646a80
134998baa74
1428a7c0944
1517a2180e3
hexe6eeca80

3874409088 has 64 divisors (see below), whose sum is σ = 11226993120. Its totient is φ = 1174062080.

The previous prime is 3874409069. The next prime is 3874409107. The reversal of 3874409088 is 8809044783.

3874409088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3874409069) and next prime (3874409107).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×38744090882 = 30022091562353983488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3874409088.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454395 + ... + 462842.

Almost surely, 23874409088 is an apocalyptic number.

It is an amenable number.

3874409088 is an abundant number, since it is smaller than the sum of its proper divisors (7352584032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3874409088 is a wasteful number, since it uses less digits than its factorization.

3874409088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917265 (or 917253 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The square root of 3874409088 is about 62244.7514895834. The cubic root of 3874409088 is about 1570.6104821575.

The spelling of 3874409088 in words is "three billion, eight hundred seventy-four million, four hundred nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 917237 1834474 2751711 3668948 5503422 7337896 10089607 11006844 14675792 20179214 22013688 29351584 30268821 40358428 44027376 58703168 60537642 80716856 88054752 117406336 121075284 161433712 176109504 242150568 322867424 352219008 484301136 645734848 968602272 1291469696 1937204544 3874409088