3840891264 has 384 divisors, whose sum is σ = 13565224800. Its totient is φ = 1065996288.

The previous prime is 3840891259. The next prime is 3840891269. The reversal of 3840891264 is 4621980483.

It is a happy number.

3840891264 is a `hidden beast` number, since 384 + 0 + 8 + 9 + 1 + 264 = 666.

3840891264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3840891259) and next prime (3840891269).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840891269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6265422 + ... + 6266034.

Almost surely, 2^3840891264 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 3840891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6782612400).

3840891264 is an abundant number, since it is smaller than the sum of its proper divisors (9724333536).

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

3840891264 is a wasteful number, since it uses less digits than its factorization.

3840891264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3840891264 is about 61974.9244775659. The cubic root of 3840891264 is about 1566.0681991996.

The spelling of 3840891264 in words is "three billion, eight hundred forty million, eight hundred ninety-one thousand, two hundred sixty-four".