38577470400 has 1344 divisors, whose sum is σ = 171439027200. Its totient is φ = 8252375040.

The previous prime is 38577470389. The next prime is 38577470413. The reversal of 38577470400 is 407477583.

38577470400 is a `hidden beast` number, since 3 + 8 + 577 + 4 + 70 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 464788759 + ... + 464788841.

It is an arithmetic number, because the mean of its divisors is an integer number (127558800).

Almost surely, 2^38577470400 is an apocalyptic number.

38577470400 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 38577470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85719513600).

38577470400 is an abundant number, since it is smaller than the sum of its proper divisors (132861556800).

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

38577470400 is a wasteful number, since it uses less digits than its factorization.

38577470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 38577470400 in words is "thirty-eight billion, five hundred seventy-seven million, four hundred seventy thousand, four hundred".