37879202880 has 560 divisors, whose sum is σ = 139922804736. Its totient is φ = 9719377920.

The previous prime is 37879202863. The next prime is 37879202887. The reversal of 37879202880 is 8820297873.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (37879202887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 121797925 + ... + 121798235.

Almost surely, 2^37879202880 is an apocalyptic number.

37879202880 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 37879202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69961402368).

37879202880 is an abundant number, since it is smaller than the sum of its proper divisors (102043601856).

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

37879202880 is a wasteful number, since it uses less digits than its factorization.

37879202880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 37879202880 in words is "thirty-seven billion, eight hundred seventy-nine million, two hundred two thousand, eight hundred eighty".