37980096000 has 960 divisors, whose sum is σ = 160680858624. Its totient is φ = 7870464000.

The previous prime is 37980095941. The next prime is 37980096013. The reversal of 37980096000 is 69008973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103487817 + ... + 103488183.

Almost surely, 2^37980096000 is an apocalyptic number.

37980096000 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 37980096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80340429312).

37980096000 is an abundant number, since it is smaller than the sum of its proper divisors (122700762624).

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

37980096000 is a wasteful number, since it uses less digits than its factorization.

37980096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

It can be divided in two parts, 379800 and 96000, that added together give a triangular number (475800 = T₉₇₅).

The spelling of 37980096000 in words is "thirty-seven billion, nine hundred eighty million, ninety-six thousand".