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3749093376 = 21337193137
BaseRepresentation
bin1101111101110110…
…1010000000000000
3100200021120200021020
43133131222000000
530134231442001
61420004025440
7161622524250
oct33735520000
910607520236
103749093376
1116542a1386
12887692280
13479952462
14277cbd960
1516e212736
hexdf76a000

3749093376 has 448 divisors, whose sum is σ = 12749905920. Its totient is φ = 955514880.

The previous prime is 3749093371. The next prime is 3749093389. The reversal of 3749093376 is 6733909473.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×37490933762 = 28111402283934154752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3749093371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101326830 + ... + 101326866.

Almost surely, 23749093376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3749093376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374952960).

3749093376 is an abundant number, since it is smaller than the sum of its proper divisors (9000812544).

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

3749093376 is a wasteful number, since it uses less digits than its factorization.

3749093376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 51.

The square root of 3749093376 is about 61229.8405681413. The cubic root of 3749093376 is about 1553.4910388160.

The spelling of 3749093376 in words is "three billion, seven hundred forty-nine million, ninety-three thousand, three hundred seventy-six".