37945481616 has 225 divisors, whose sum is σ = 127921369521. Its totient is φ = 10827540864.

The previous prime is 37945481603. The next prime is 37945481617. The reversal of 37945481616 is 61618454973.

The square root of 37945481616 is 194796.

It is a perfect power (a square), and thus also a powerful number.

37945481616 is a `hidden beast` number, since 3 + 7 + 94 + 548 + 1 + 6 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2414739600 + 35530742016 = 49140^2 + 188496^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (37945481617) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49088206 + ... + 49088978.

Almost surely, 2^37945481616 is an apocalyptic number.

37945481616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

37945481616 is the 194796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37945481616

37945481616 is an abundant number, since it is smaller than the sum of its proper divisors (89975887905).

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

37945481616 is an frugal number, since it uses more digits than its factorization.

37945481616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 785 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 37945481616 in words is "thirty-seven billion, nine hundred forty-five million, four hundred eighty-one thousand, six hundred sixteen".