38919813120 has 288 divisors, whose sum is σ = 139893914160. Its totient is φ = 10377953280.

The previous prime is 38919813077. The next prime is 38919813151. The reversal of 38919813120 is 2131891983.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is a congruent number.

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, 2480500 + ... + 2496140.

Almost surely, 2^38919813120 is an apocalyptic number.

38919813120 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 38919813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69946957080).

38919813120 is an abundant number, since it is smaller than the sum of its proper divisors (100974101040).

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

38919813120 is an equidigital number, since it uses as much as digits as its factorization.

38919813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15683 (or 15651 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 38919813120 in words is "thirty-eight billion, nine hundred nineteen million, eight hundred thirteen thousand, one hundred twenty".