37948239120 has 640 divisors, whose sum is σ = 143630807040. Its totient is φ = 8174960640.

The previous prime is 37948239113. The next prime is 37948239139. The reversal of 37948239120 is 2193284973.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 37948239120.

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, 100127091 + ... + 100127469.

It is an arithmetic number, because the mean of its divisors is an integer number (224423136).

Almost surely, 2^37948239120 is an apocalyptic number.

37948239120 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 37948239120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71815403520).

37948239120 is an abundant number, since it is smaller than the sum of its proper divisors (105682567920).

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

37948239120 is a wasteful number, since it uses less digits than its factorization.

37948239120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 37948239120 in words is "thirty-seven billion, nine hundred forty-eight million, two hundred thirty-nine thousand, one hundred twenty".