3937430615616 has 189 divisors, whose sum is σ = 11692624966113. Its totient is φ = 1266774566400.

The previous prime is 3937430615597. The next prime is 3937430615663. The reversal of 3937430615616 is 6165160347393.

The square root of 3937430615616 is 1984296.

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

3937430615616 is a `hidden beast` number, since 3 + 9 + 3 + 7 + 4 + 3 + 0 + 6 + 15 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2064693105216 + 1872737510400 = 1436904^2 + 1368480^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1381068591 + ... + 1381071441.

Almost surely, 2^{3937430615616} is an apocalyptic number.

3937430615616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3937430615616 is the 1984296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3937430615616

3937430615616 is an abundant number, since it is smaller than the sum of its proper divisors (7755194350497).

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

3937430615616 is an frugal number, since it uses more digits than its factorization.

3937430615616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5778 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 3937430615616 in words is "three trillion, nine hundred thirty-seven billion, four hundred thirty million, six hundred fifteen thousand, six hundred sixteen".