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3746313640 = 235372531293
BaseRepresentation
bin1101111101001100…
…0011010110101000
3100200002100110012001
43133103003112220
530133024014030
61415424300344
7161560066126
oct33723032650
910602313161
103746313640
111652772983
128867716b4
134791bb144
14277798916
1516dd63cca
hexdf4c35a8

3746313640 has 32 divisors (see below), whose sum is σ = 8657025480. Its totient is φ = 1458024192.

The previous prime is 3746313629. The next prime is 3746313653. The reversal of 3746313640 is 463136473.

It can be written as a sum of positive squares in 4 ways, for example, as 3743237124 + 3076516 = 61182^2 + 1754^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 3746313640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1264167 + ... + 1267126.

Almost surely, 23746313640 is an apocalyptic number.

It is an amenable number.

3746313640 is an abundant number, since it is smaller than the sum of its proper divisors (4910711840).

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

3746313640 is a wasteful number, since it uses less digits than its factorization.

3746313640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531341 (or 2531337 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 37.

The square root of 3746313640 is about 61207.1371655300. The cubic root of 3746313640 is about 1553.1070026213.

It can be divided in two parts, 3746313 and 640, that added together give a triangular number (3746953 = T2737).

The spelling of 3746313640 in words is "three billion, seven hundred forty-six million, three hundred thirteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 2531293 5062586 10125172 12656465 20250344 25312930 50625860 93657841 101251720 187315682 374631364 468289205 749262728 936578410 1873156820 3746313640