38011417920 has 672 divisors, whose sum is σ = 159296087808. Its totient is φ = 8121286656.

The previous prime is 38011417919. The next prime is 38011417949. The reversal of 38011417920 is 2971411083.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67515559 + ... + 67516121.

Almost surely, 2^38011417920 is an apocalyptic number.

38011417920 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 38011417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79648043904).

38011417920 is an abundant number, since it is smaller than the sum of its proper divisors (121284669888).

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

38011417920 is a wasteful number, since it uses less digits than its factorization.

38011417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 38011417920 in words is "thirty-eight billion, eleven million, four hundred seventeen thousand, nine hundred twenty".