37897488000 has 768 divisors, whose sum is σ = 146441636640. Its totient is φ = 9358540800.

The previous prime is 37897487981. The next prime is 37897488023. The reversal of 37897488000 is 88479873.

37897488000 is a `hidden beast` number, since 3 + 78 + 97 + 488 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4390917696 + 33506570304 = 66264^2 + 183048^2 .

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, 276623932 + ... + 276624068.

Almost surely, 2^37897488000 is an apocalyptic number.

37897488000 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 37897488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73220818320).

37897488000 is an abundant number, since it is smaller than the sum of its proper divisors (108544148640).

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

37897488000 is a wasteful number, since it uses less digits than its factorization.

37897488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 37897488000 in words is "thirty-seven billion, eight hundred ninety-seven million, four hundred eighty-eight thousand".