37396800000 has 1080 divisors, whose sum is σ = 159889461732. Its totient is φ = 8386560000.

The previous prime is 37396799959. The next prime is 37396800031. The reversal of 37396800000 is 869373.

It can be written as a sum of positive squares in 6 ways, for example, as 2118945024 + 35277854976 = 46032^2 + 187824^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 705599974 + ... + 705600026.

Almost surely, 2^37396800000 is an apocalyptic number.

37396800000 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 37396800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79944730866).

37396800000 is an abundant number, since it is smaller than the sum of its proper divisors (122492661732).

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

37396800000 is an frugal number, since it uses more digits than its factorization.

37396800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 70 counting only the distinct ones).

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

The spelling of 37396800000 in words is "thirty-seven billion, three hundred ninety-six million, eight hundred thousand".