37821307680 has 216 divisors, whose sum is σ = 139757904468. Its totient is φ = 9309800448.

The previous prime is 37821307637. The next prime is 37821307757. The reversal of 37821307680 is 8670312873.

37821307680 is a `hidden beast` number, since 378 + 2 + 130 + 76 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 267518736 + 37553788944 = 16356^2 + 193788^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165654 + ... + 321066.

Almost surely, 2^37821307680 is an apocalyptic number.

37821307680 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 37821307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69878952234).

37821307680 is an abundant number, since it is smaller than the sum of its proper divisors (101936596788).

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

37821307680 is a wasteful number, since it uses less digits than its factorization.

37821307680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155460 (or 155436 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 37821307680 in words is "thirty-seven billion, eight hundred twenty-one million, three hundred seven thousand, six hundred eighty".