38751294120 has 256 divisors, whose sum is σ = 145081497600. Its totient is φ = 8044354560.

The previous prime is 38751294103. The next prime is 38751294121. The reversal of 38751294120 is 2149215783.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (38751294121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18728446 + ... + 18730514.

It is an arithmetic number, because the mean of its divisors is an integer number (566724600).

Almost surely, 2^38751294120 is an apocalyptic number.

38751294120 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 38751294120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72540748800).

38751294120 is an abundant number, since it is smaller than the sum of its proper divisors (106330203480).

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

38751294120 is a wasteful number, since it uses less digits than its factorization.

38751294120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 38751294120 in words is "thirty-eight billion, seven hundred fifty-one million, two hundred ninety-four thousand, one hundred twenty".