38533622400 has 1536 divisors, whose sum is σ = 180613440000. Its totient is φ = 7849820160.

The previous prime is 38533622389. The next prime is 38533622419. The reversal of 38533622400 is 422633583.

It is a happy number.

38533622400 is a `hidden beast` number, since 3 + 8 + 53 + 362 + 240 + 0 = 666.

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

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, 1328745586 + ... + 1328745614.

It is an arithmetic number, because the mean of its divisors is an integer number (117586875).

Almost surely, 2^38533622400 is an apocalyptic number.

38533622400 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 38533622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90306720000).

38533622400 is an abundant number, since it is smaller than the sum of its proper divisors (142079817600).

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

38533622400 is a wasteful number, since it uses less digits than its factorization.

38533622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 38533622400 in words is "thirty-eight billion, five hundred thirty-three million, six hundred twenty-two thousand, four hundred".