38612754432 has 672 divisors, whose sum is σ = 140831937792. Its totient is φ = 10319560704.

The previous prime is 38612754431. The next prime is 38612754457. The reversal of 38612754432 is 23445721683.

38612754432 is a `hidden beast` number, since 3 + 86 + 1 + 27 + 544 + 3 + 2 = 666.

38612754432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

Its product of digits (967680) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38612754431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236887983 + ... + 236888145.

It is an arithmetic number, because the mean of its divisors is an integer number (209571336).

Almost surely, 2^38612754432 is an apocalyptic number.

38612754432 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 38612754432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70415968896).

38612754432 is an abundant number, since it is smaller than the sum of its proper divisors (102219183360).

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

38612754432 is an equidigital number, since it uses as much as digits as its factorization.

38612754432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 192 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 38612754432 in words is "thirty-eight billion, six hundred twelve million, seven hundred fifty-four thousand, four hundred thirty-two".