341642588004 has 81 divisors (see below), whose sum is σ = 878536065771. Its totient is φ = 111943823040.

The previous prime is 341642587987. The next prime is 341642588011. The reversal of 341642588004 is 400885246143.

The square root of 341642588004 is 584502.

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

341642588004 is a `hidden beast` number, since 3 + 4 + 1 + 64 + 2 + 588 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 217986272100 + 123656315904 = 466890^2 + 351648^2 .

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, 213926934 + ... + 213928530.

Almost surely, 2^341642588004 is an apocalyptic number.

341642588004 is the 584502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341642588004

341642588004 is an abundant number, since it is smaller than the sum of its proper divisors (536893477767).

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

341642588004 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (341642588003) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (3326).

341642588004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 341642588004 in words is "three hundred forty-one billion, six hundred forty-two million, five hundred eighty-eight thousand, four".