37879742365080 has 512 divisors, whose sum is σ = 142016546764800. Its totient is φ = 7852444876800.

The previous prime is 37879742365033. The next prime is 37879742365099. The reversal of 37879742365080 is 8056324797873.

It is a junction number, because it is equal to n+sod(n) for n = 37879742364996 and 37879742365014.

It is a congruent number.

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, 11804218516 + ... + 11804221724.

It is an arithmetic number, because the mean of its divisors is an integer number (277376067900).

Almost surely, 2^{37879742365080} is an apocalyptic number.

37879742365080 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 37879742365080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71008273382400).

37879742365080 is an abundant number, since it is smaller than the sum of its proper divisors (104136804399720).

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

37879742365080 is a wasteful number, since it uses less digits than its factorization.

37879742365080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5875 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 69.

The spelling of 37879742365080 in words is "thirty-seven trillion, eight hundred seventy-nine billion, seven hundred forty-two million, three hundred sixty-five thousand, eighty".