38522534400 has 1440 divisors, whose sum is σ = 172242690048. Its totient is φ = 8028979200.

The previous prime is 38522534341. The next prime is 38522534417. The reversal of 38522534400 is 443522583.

38522534400 is a `hidden beast` number, since 3 + 85 + 2 + 2 + 534 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 574963167 + ... + 574963233.

Almost surely, 2^38522534400 is an apocalyptic number.

38522534400 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 38522534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86121345024).

38522534400 is an abundant number, since it is smaller than the sum of its proper divisors (133720155648).

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

38522534400 is a wasteful number, since it uses less digits than its factorization.

38522534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 38522534400 in words is "thirty-eight billion, five hundred twenty-two million, five hundred thirty-four thousand, four hundred".