37380096000 has 816 divisors, whose sum is σ = 149672596320. Its totient is φ = 9201254400.

The previous prime is 37380095981. The next prime is 37380096059. The reversal of 37380096000 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 47 ways as a sum of consecutive naturals, for example, 2875391994 + ... + 2875392006.

Almost surely, 2^37380096000 is an apocalyptic number.

37380096000 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 37380096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74836298160).

37380096000 is an abundant number, since it is smaller than the sum of its proper divisors (112292500320).

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

37380096000 is an frugal number, since it uses more digits than its factorization.

37380096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 23 counting only the distinct ones).

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

The spelling of 37380096000 in words is "thirty-seven billion, three hundred eighty million, ninety-six thousand".