37820285712 has 120 divisors (see below), whose sum is σ = 115521594240. Its totient is φ = 11455223040.

The previous prime is 37820285689. The next prime is 37820285743. The reversal of 37820285712 is 21758202873.

37820285712 is a `hidden beast` number, since 3 + 78 + 2 + 0 + 2 + 8 + 571 + 2 = 666.

It is a super-2 number, since 2×37820285712² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4378614 + ... + 4387242.

It is an arithmetic number, because the mean of its divisors is an integer number (962679952).

Almost surely, 2^37820285712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37820285712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57760797120).

37820285712 is an abundant number, since it is smaller than the sum of its proper divisors (77701308528).

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

37820285712 is a wasteful number, since it uses less digits than its factorization.

37820285712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11421 (or 11412 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 37820285712 in words is "thirty-seven billion, eight hundred twenty million, two hundred eighty-five thousand, seven hundred twelve".