38413612800 has 864 divisors, whose sum is σ = 148910469120. Its totient is φ = 9676800000.

The previous prime is 38413612763. The next prime is 38413612859. The reversal of 38413612800 is 821631483.

38413612800 is a `hidden beast` number, since 38 + 4 + 1 + 3 + 612 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 380332750 + ... + 380332850.

It is an arithmetic number, because the mean of its divisors is an integer number (172350080).

Almost surely, 2^38413612800 is an apocalyptic number.

38413612800 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 38413612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74455234560).

38413612800 is an abundant number, since it is smaller than the sum of its proper divisors (110496856320).

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

38413612800 is a wasteful number, since it uses less digits than its factorization.

38413612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 38413612800 in words is "thirty-eight billion, four hundred thirteen million, six hundred twelve thousand, eight hundred".