3894208864 has 192 divisors, whose sum is σ = 9773688960. Its totient is φ = 1495203840.

The previous prime is 3894208847. The next prime is 3894208961. The reversal of 3894208864 is 4688024983.

3894208864 = T₁₅₇ + T₁₅₈ + ... + T₂₈₅₈.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20177152 + ... + 20177344.

It is an arithmetic number, because the mean of its divisors is an integer number (50904630).

Almost surely, 2^3894208864 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 3894208864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4886844480).

3894208864 is an abundant number, since it is smaller than the sum of its proper divisors (5879480096).

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

3894208864 is a wasteful number, since it uses less digits than its factorization.

3894208864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 52.

The square root of 3894208864 is about 62403.5965630187. The cubic root of 3894208864 is about 1573.2814194943.

The spelling of 3894208864 in words is "three billion, eight hundred ninety-four million, two hundred eight thousand, eight hundred sixty-four".