38502710400 has 768 divisors, whose sum is σ = 161489664000. Its totient is φ = 7993036800.

The previous prime is 38502710371. The next prime is 38502710419. The reversal of 38502710400 is 401720583.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36220269 + ... + 36221331.

It is an arithmetic number, because the mean of its divisors is an integer number (210273000).

Almost surely, 2^38502710400 is an apocalyptic number.

38502710400 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 38502710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80744832000).

38502710400 is an abundant number, since it is smaller than the sum of its proper divisors (122986953600).

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

38502710400 is a wasteful number, since it uses less digits than its factorization.

38502710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 38502710400 in words is "thirty-eight billion, five hundred two million, seven hundred ten thousand, four hundred".