3801402565200 has 1920 divisors, whose sum is σ = 15686767411200. Its totient is φ = 868589568000.

The previous prime is 3801402565171. The next prime is 3801402565229. The reversal of 3801402565200 is 25652041083.

3801402565200 is a `hidden beast` number, since 3 + 80 + 1 + 4 + 0 + 2 + 56 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3801402565171) and next prime (3801402565229).

It is a super-2 number, since 2×3801402565200² (a number of 26 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 9294382596 + ... + 9294383004.

It is an arithmetic number, because the mean of its divisors is an integer number (8170191360).

Almost surely, 2^{3801402565200} is an apocalyptic number.

3801402565200 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 3801402565200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7843383705600).

3801402565200 is an abundant number, since it is smaller than the sum of its proper divisors (11885364846000).

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

3801402565200 is a wasteful number, since it uses less digits than its factorization.

3801402565200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 3801402565200 in words is "three trillion, eight hundred one billion, four hundred two million, five hundred sixty-five thousand, two hundred".