37340933028672 has 336 divisors, whose sum is σ = 123812251557120. Its totient is φ = 9844699189248.

The previous prime is 37340933028631. The next prime is 37340933028689. The reversal of 37340933028672 is 27682033904373.

It is a tau number, because it is divible by the number of its divisors (336).

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, 357931654 + ... + 358035962.

It is an arithmetic number, because the mean of its divisors is an integer number (368488843920).

Almost surely, 2^{37340933028672} is an apocalyptic number.

37340933028672 is a gapful number since it is divisible by the number (32) 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 37340933028672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61906125778560).

37340933028672 is an abundant number, since it is smaller than the sum of its proper divisors (86471318528448).

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

37340933028672 is a wasteful number, since it uses less digits than its factorization.

37340933028672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107278 (or 107261 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 57.

The spelling of 37340933028672 in words is "thirty-seven trillion, three hundred forty billion, nine hundred thirty-three million, twenty-eight thousand, six hundred seventy-two".