38761804800 has 924 divisors, whose sum is σ = 150924098176. Its totient is φ = 9853747200.

The previous prime is 38761804727. The next prime is 38761804801. The reversal of 38761804800 is 840816783.

38761804800 is a `hidden beast` number, since 38 + 7 + 61 + 80 + 480 + 0 = 666.

It is a super-2 number, since 2×38761804800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38761804801) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 578534367 + ... + 578534433.

Almost surely, 2^38761804800 is an apocalyptic number.

38761804800 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 38761804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75462049088).

38761804800 is an abundant number, since it is smaller than the sum of its proper divisors (112162293376).

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

38761804800 is an equidigital number, since it uses as much as digits as its factorization.

38761804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 38761804800 in words is "thirty-eight billion, seven hundred sixty-one million, eight hundred four thousand, eight hundred".