37938986496 has 320 divisors, whose sum is σ = 124095628800. Its totient is φ = 11383308288.

The previous prime is 37938986489. The next prime is 37938986507. The reversal of 37938986496 is 69468983973.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5401675 + ... + 5408693.

It is an arithmetic number, because the mean of its divisors is an integer number (387798840).

Almost surely, 2^37938986496 is an apocalyptic number.

37938986496 is a gapful number since it is divisible by the number (36) 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 37938986496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62047814400).

37938986496 is an abundant number, since it is smaller than the sum of its proper divisors (86156642304).

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

37938986496 is a wasteful number, since it uses less digits than its factorization.

37938986496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7086 (or 7064 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 37938986496 in words is "thirty-seven billion, nine hundred thirty-eight million, nine hundred eighty-six thousand, four hundred ninety-six".