37998048270336 has 1152 divisors, whose sum is σ = 134704102740480. Its totient is φ = 9401204736000.

The previous prime is 37998048270317. The next prime is 37998048270367. The reversal of 37998048270336 is 63307284089973.

It is a Harshad number since it is a multiple of its sum of digits (69).

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 95 ways as a sum of consecutive naturals, for example, 21098304636 + ... + 21098306436.

It is an arithmetic number, because the mean of its divisors is an integer number (116930644740).

Almost surely, 2^{37998048270336} 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 37998048270336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67352051370240).

37998048270336 is an abundant number, since it is smaller than the sum of its proper divisors (96706054470144).

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

37998048270336 is a wasteful number, since it uses less digits than its factorization.

37998048270336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 69.

The spelling of 37998048270336 in words is "thirty-seven trillion, nine hundred ninety-eight billion, forty-eight million, two hundred seventy thousand, three hundred thirty-six".