39084428076516 has 81 divisors (see below), whose sum is σ = 99368840090793. Its totient is φ = 12953134147680.

The previous prime is 39084428076497. The next prime is 39084428076563. The reversal of 39084428076516 is 61567082448093.

The square root of 39084428076516 is 6251754.

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

39084428076516 is a `hidden beast` number, since 3 + 9 + 0 + 8 + 4 + 42 + 8 + 0 + 76 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33997598916516 + 5086829160000 = 5830746^2 + 2255400^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6714380886 + ... + 6714386706.

It is a 1-persistent number, because it is pandigital, but 2⋅39084428076516 = 78168856153032 is not.

Almost surely, 2^{39084428076516} is an apocalyptic number.

39084428076516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

39084428076516 is the 6251754-th square number.

It is an amenable number.

39084428076516 is an abundant number, since it is smaller than the sum of its proper divisors (60284412014277).

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

39084428076516 is an frugal number, since it uses more digits than its factorization.

39084428076516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12010 (or 6005 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 39084428076516 in words is "thirty-nine trillion, eighty-four billion, four hundred twenty-eight million, seventy-six thousand, five hundred sixteen".