3756896640 has 1152 divisors, whose sum is σ = 17141997600. Its totient is φ = 780337152.

The previous prime is 3756896551. The next prime is 3756896641. The reversal of 3756896640 is 466986573.

3756896640 is a `hidden beast` number, since 37 + 568 + 9 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3756896640² = 28228544727286579200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3756896641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 129548146 + ... + 129548174.

Almost surely, 2^3756896640 is an apocalyptic number.

3756896640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3756896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570998800).

3756896640 is an abundant number, since it is smaller than the sum of its proper divisors (13385100960).

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

3756896640 is a wasteful number, since it uses less digits than its factorization.

3756896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 3756896640 is about 61293.5285327905. The cubic root of 3756896640 is about 1554.5680903277.

The spelling of 3756896640 in words is "three billion, seven hundred fifty-six million, eight hundred ninety-six thousand, six hundred forty".