382102004736 has 297 divisors, whose sum is σ = 1135573837489. Its totient is φ = 123747483648.

The previous prime is 382102004693. The next prime is 382102004741. The reversal of 382102004736 is 637400201283.

It is a happy number.

The square root of 382102004736 is 618144.

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

382102004736 is a `hidden beast` number, since 3 + 82 + 102 + 0 + 0 + 473 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 224448537600 + 157653467136 = 473760^2 + 397056^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 382102004736.

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, 2789065660 + ... + 2789065796.

Almost surely, 2^382102004736 is an apocalyptic number.

382102004736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

382102004736 is the 618144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382102004736

382102004736 is an abundant number, since it is smaller than the sum of its proper divisors (753471832753).

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

382102004736 is an equidigital number, since it uses as much as digits as its factorization.

382102004736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 382102004736 by its sum of digits (36), we get a square (13755672170496 = 3708864²).

382102004736 divided by its sum of digits (36) gives a square (10613944576 = 103024²).

The spelling of 382102004736 in words is "three hundred eighty-two billion, one hundred two million, four thousand, seven hundred thirty-six".