39284825616 has 135 divisors (see below), whose sum is σ = 111845546319. Its totient is φ = 12872160576.

The previous prime is 39284825599. The next prime is 39284825617. The reversal of 39284825616 is 61652848293.

The square root of 39284825616 is 198204.

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

39284825616 is a `hidden beast` number, since 39 + 2 + 8 + 48 + 2 + 561 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (39284825617) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 197411085 + ... + 197411283.

Almost surely, 2^39284825616 is an apocalyptic number.

39284825616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

39284825616 is the 198204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39284825616

39284825616 is an abundant number, since it is smaller than the sum of its proper divisors (72560720703).

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

39284825616 is an equidigital number, since it uses as much as digits as its factorization.

39284825616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 287 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

It can be divided in two parts, 39284 and 825616, that added together give a square (864900 = 930²).

The spelling of 39284825616 in words is "thirty-nine billion, two hundred eighty-four million, eight hundred twenty-five thousand, six hundred sixteen".