38725646400 has 1512 divisors, whose sum is σ = 178532430336. Its totient is φ = 8062156800.

The previous prime is 38725646353. The next prime is 38725646429. The reversal of 38725646400 is 464652783.

38725646400 is a `hidden beast` number, since 3 + 87 + 2 + 564 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1249214385 + ... + 1249214415.

Almost surely, 2^38725646400 is an apocalyptic number.

38725646400 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 38725646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89266215168).

38725646400 is an abundant number, since it is smaller than the sum of its proper divisors (139806783936).

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

38725646400 is an equidigital number, since it uses as much as digits as its factorization.

38725646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 38725646400 in words is "thirty-eight billion, seven hundred twenty-five million, six hundred forty-six thousand, four hundred".