38958344880 has 480 divisors, whose sum is σ = 152884214784. Its totient is φ = 7991488512.

The previous prime is 38958344869. The next prime is 38958344881. The reversal of 38958344880 is 8844385983.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (38958344881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29898309 + ... + 29899611.

Almost surely, 2^38958344880 is an apocalyptic number.

38958344880 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 38958344880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76442107392).

38958344880 is an abundant number, since it is smaller than the sum of its proper divisors (113925869904).

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

38958344880 is a wasteful number, since it uses less digits than its factorization.

38958344880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 38958344880 in words is "thirty-eight billion, nine hundred fifty-eight million, three hundred forty-four thousand, eight hundred eighty".