38584861920 has 1344 divisors, whose sum is σ = 165988751040. Its totient is φ = 8360755200.

The previous prime is 38584861879. The next prime is 38584861921. The reversal of 38584861920 is 2916848583.

38584861920 is a `hidden beast` number, since 38 + 584 + 8 + 6 + 1 + 9 + 20 = 666.

38584861920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38584861921) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 632538690 + ... + 632538750.

It is an arithmetic number, because the mean of its divisors is an integer number (123503535).

Almost surely, 2^38584861920 is an apocalyptic number.

38584861920 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 38584861920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82994375520).

38584861920 is an abundant number, since it is smaller than the sum of its proper divisors (127403889120).

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

38584861920 is a wasteful number, since it uses less digits than its factorization.

38584861920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 38584861920 in words is "thirty-eight billion, five hundred eighty-four million, eight hundred sixty-one thousand, nine hundred twenty".