3892860400 has 360 divisors, whose sum is σ = 11595195360. Its totient is φ = 1245235200.

The previous prime is 3892860397. The next prime is 3892860407. The reversal of 3892860400 is 40682983.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3892860407) 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 71 ways as a sum of consecutive naturals, for example, 14471466 + ... + 14471734.

It is an arithmetic number, because the mean of its divisors is an integer number (32208876).

Almost surely, 2^3892860400 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 3892860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797597680).

3892860400 is an abundant number, since it is smaller than the sum of its proper divisors (7702334960).

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

3892860400 is a wasteful number, since it uses less digits than its factorization.

3892860400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 3892860400 is about 62392.7912502719. The cubic root of 3892860400 is about 1573.0998029492.

The spelling of 3892860400 in words is "three billion, eight hundred ninety-two million, eight hundred sixty thousand, four hundred".