38551468032 has 576 divisors, whose sum is σ = 144976366080. Its totient is φ = 9569894400.

The previous prime is 38551468013. The next prime is 38551468057. The reversal of 38551468032 is 23086415583.

38551468032 is a `hidden beast` number, since 3 + 8 + 551 + 4 + 68 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32642482 + ... + 32643662.

It is an arithmetic number, because the mean of its divisors is an integer number (251695080).

Almost surely, 2^38551468032 is an apocalyptic number.

38551468032 is a gapful number since it is divisible by the number (32) 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 38551468032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72488183040).

38551468032 is an abundant number, since it is smaller than the sum of its proper divisors (106424898048).

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

38551468032 is a wasteful number, since it uses less digits than its factorization.

38551468032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 38551468032 in words is "thirty-eight billion, five hundred fifty-one million, four hundred sixty-eight thousand, thirty-two".