38741778432 has 336 divisors, whose sum is σ = 128836960512. Its totient is φ = 10988421120.

The previous prime is 38741778377. The next prime is 38741778451. The reversal of 38741778432 is 23487714783.

38741778432 is a `hidden beast` number, since 38 + 7 + 4 + 177 + 8 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139861878 + ... + 139862154.

Almost surely, 2^38741778432 is an apocalyptic number.

38741778432 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 38741778432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64418480256).

38741778432 is an abundant number, since it is smaller than the sum of its proper divisors (90095182080).

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

38741778432 is a wasteful number, since it uses less digits than its factorization.

38741778432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 560 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The spelling of 38741778432 in words is "thirty-eight billion, seven hundred forty-one million, seven hundred seventy-eight thousand, four hundred thirty-two".