38551720032 has 576 divisors, whose sum is σ = 134231924736. Its totient is φ = 10265149440.

The previous prime is 38551720019. The next prime is 38551720033. The reversal of 38551720032 is 23002715583.

It is a happy number.

38551720032 is a `hidden beast` number, since 3 + 8 + 551 + 72 + 0 + 0 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38551720033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 341165608 + ... + 341165720.

It is an arithmetic number, because the mean of its divisors is an integer number (233041536).

Almost surely, 2^38551720032 is an apocalyptic number.

38551720032 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 38551720032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67115962368).

38551720032 is an abundant number, since it is smaller than the sum of its proper divisors (95680204704).

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

38551720032 is a wasteful number, since it uses less digits than its factorization.

38551720032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 38551720032 in words is "thirty-eight billion, five hundred fifty-one million, seven hundred twenty thousand, thirty-two".