38112920040 has 512 divisors, whose sum is σ = 138997555200. Its totient is φ = 8266199040.

The previous prime is 38112920029. The next prime is 38112920057. The reversal of 38112920040 is 4002921183.

38112920040 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25222885 + ... + 25224395.

It is an arithmetic number, because the mean of its divisors is an integer number (271479600).

Almost surely, 2^38112920040 is an apocalyptic number.

38112920040 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 38112920040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69498777600).

38112920040 is an abundant number, since it is smaller than the sum of its proper divisors (100884635160).

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

38112920040 is a wasteful number, since it uses less digits than its factorization.

38112920040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 38112920040 in words is "thirty-eight billion, one hundred twelve million, nine hundred twenty thousand, forty".