37994838168432 has 320 divisors, whose sum is σ = 109975408266240. Its totient is φ = 11240979628032.

The previous prime is 37994838168349. The next prime is 37994838168439. The reversal of 37994838168432 is 23486183849973.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37994838168439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5122665588 + ... + 5122673004.

It is an arithmetic number, because the mean of its divisors is an integer number (343673150832).

Almost surely, 2^{37994838168432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37994838168432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54987704133120).

37994838168432 is an abundant number, since it is smaller than the sum of its proper divisors (71980570097808).

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

37994838168432 is a wasteful number, since it uses less digits than its factorization.

37994838168432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11280 (or 11274 counting only the distinct ones).

The product of its digits is 1504935936, while the sum is 75.

The spelling of 37994838168432 in words is "thirty-seven trillion, nine hundred ninety-four billion, eight hundred thirty-eight million, one hundred sixty-eight thousand, four hundred thirty-two".