37984630275072 has 704 divisors, whose sum is σ = 125163150134400. Its totient is φ = 11371025203200.

The previous prime is 37984630275061. The next prime is 37984630275101. The reversal of 37984630275072 is 27057203648973.

37984630275072 is a `hidden beast` number, since 3 + 7 + 98 + 4 + 6 + 30 + 2 + 7 + 507 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2247469822 + ... + 2247486722.

Almost surely, 2^{37984630275072} is an apocalyptic number.

37984630275072 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 37984630275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62581575067200).

37984630275072 is an abundant number, since it is smaller than the sum of its proper divisors (87178519859328).

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

37984630275072 is a wasteful number, since it uses less digits than its factorization.

37984630275072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17006 (or 16956 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 37984630275072 in words is "thirty-seven trillion, nine hundred eighty-four billion, six hundred thirty million, two hundred seventy-five thousand, seventy-two".