3933156864 has 320 divisors, whose sum is σ = 13584130560. Its totient is φ = 982056960.

The previous prime is 3933156863. The next prime is 3933156881. The reversal of 3933156864 is 4686513393.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3933156863) 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, 2655004 + ... + 2656484.

It is an arithmetic number, because the mean of its divisors is an integer number (42450408).

Almost surely, 2^3933156864 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 3933156864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6792065280).

3933156864 is an abundant number, since it is smaller than the sum of its proper divisors (9650973696).

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

3933156864 is a wasteful number, since it uses less digits than its factorization.

3933156864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1525 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The square root of 3933156864 is about 62714.8855057553. The cubic root of 3933156864 is about 1578.5090972714.

The spelling of 3933156864 in words is "three billion, nine hundred thirty-three million, one hundred fifty-six thousand, eight hundred sixty-four".