3820865400 has 432 divisors, whose sum is σ = 14413843080. Its totient is φ = 906048000.

The previous prime is 3820865393. The next prime is 3820865417. The reversal of 3820865400 is 45680283.

3820865400 is a `hidden beast` number, since 38 + 2 + 0 + 86 + 540 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11543235 + ... + 11543565.

Almost surely, 2^3820865400 is an apocalyptic number.

3820865400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3820865400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7206921540).

3820865400 is an abundant number, since it is smaller than the sum of its proper divisors (10592977680).

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

3820865400 is a wasteful number, since it uses less digits than its factorization.

3820865400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3820865400 is about 61813.1490865819. The cubic root of 3820865400 is about 1563.3417024489.

The spelling of 3820865400 in words is "three billion, eight hundred twenty million, eight hundred sixty-five thousand, four hundred".