37380096000000 has 1680 divisors, whose sum is σ = 149911538139000. Its totient is φ = 9201254400000.

The previous prime is 37380095999969. The next prime is 37380096000029. The reversal of 37380096000000 is 69008373.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2875391999994 + ... + 2875392000006.

Almost surely, 2^{37380096000000} is an apocalyptic number.

37380096000000 is a gapful number since it is divisible by the number (30) 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 37380096000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74955769069500).

37380096000000 is an abundant number, since it is smaller than the sum of its proper divisors (112531442139000).

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

37380096000000 is an frugal number, since it uses more digits than its factorization.

37380096000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 37380096000000 in words is "thirty-seven trillion, three hundred eighty billion, ninety-six million", and thus it is an aban number.