3921027264 has 840 divisors, whose sum is σ = 15696468480. Its totient is φ = 944317440.

The previous prime is 3921027263. The next prime is 3921027293. The reversal of 3921027264 is 4627201293.

3921027264 is a `hidden beast` number, since 392 + 1 + 0 + 2 + 7 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3921027263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 83426089 + ... + 83426135.

It is an arithmetic number, because the mean of its divisors is an integer number (18686272).

Almost surely, 2^3921027264 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 3921027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848234240).

3921027264 is an abundant number, since it is smaller than the sum of its proper divisors (11775441216).

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

3921027264 is a wasteful number, since it uses less digits than its factorization.

3921027264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3921027264 is about 62618.1065188017. The cubic root of 3921027264 is about 1576.8847531990.

The spelling of 3921027264 in words is "three billion, nine hundred twenty-one million, twenty-seven thousand, two hundred sixty-four".