38464372800 has 882 divisors, whose sum is σ = 165318070938. Its totient is φ = 8778792960.

The previous prime is 38464372777. The next prime is 38464372801. The reversal of 38464372800 is 827346483.

It can be written as a sum of positive squares in 3 ways, for example, as 1008189504 + 37456183296 = 31752^2 + 193536^2 .

It is a tau number, because it is divible by the number of its divisors (882).

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

It is not an unprimeable number, because it can be changed into a prime (38464372801) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 57153264 + ... + 57153936.

Almost surely, 2^38464372800 is an apocalyptic number.

38464372800 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 38464372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82659035469).

38464372800 is an abundant number, since it is smaller than the sum of its proper divisors (126853698138).

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

38464372800 is an equidigital number, since it uses as much as digits as its factorization.

38464372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 38464372800 in words is "thirty-eight billion, four hundred sixty-four million, three hundred seventy-two thousand, eight hundred".