3934976640 has 512 divisors, whose sum is σ = 15159191040. Its totient is φ = 849346560.

The previous prime is 3934976579. The next prime is 3934976641. The reversal of 3934976640 is 466794393.

It is not an unprimeable number, because it can be changed into a prime (3934976641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20388384 + ... + 20388576.

It is an arithmetic number, because the mean of its divisors is an integer number (29607795).

Almost surely, 2^3934976640 is an apocalyptic number.

3934976640 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 3934976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7579595520).

3934976640 is an abundant number, since it is smaller than the sum of its proper divisors (11224214400).

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

3934976640 is a wasteful number, since it uses less digits than its factorization.

3934976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 51.

The square root of 3934976640 is about 62729.3921539178. The cubic root of 3934976640 is about 1578.7525056553.

The spelling of 3934976640 in words is "three billion, nine hundred thirty-four million, nine hundred seventy-six thousand, six hundred forty".