37982180018004 has 144 divisors (see below), whose sum is σ = 99808472332800. Its totient is φ = 11219925841920.

The previous prime is 37982180017993. The next prime is 37982180018017. The reversal of 37982180018004 is 40081008128973.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796479 + ... + 8752070.

It is an arithmetic number, because the mean of its divisors is an integer number (693114391200).

Almost surely, 2^{37982180018004} is an apocalyptic number.

37982180018004 is a gapful number since it is divisible by the number (34) 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 37982180018004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49904236166400).

37982180018004 is an abundant number, since it is smaller than the sum of its proper divisors (61826292314796).

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

37982180018004 is a wasteful number, since it uses less digits than its factorization.

37982180018004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9548658 (or 9548639 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 37982180018004 in words is "thirty-seven trillion, nine hundred eighty-two billion, one hundred eighty million, eighteen thousand, four".