349901825625 has 225 divisors, whose sum is σ = 720949357513. Its totient is φ = 168939540000.

The previous prime is 349901825591. The next prime is 349901825633. The reversal of 349901825625 is 526528109943.

The square root of 349901825625 is 591525.

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

349901825625 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 0 + 1 + 8 + 2 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27432303129 + 322469522496 = 165627^2 + 567864^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 349901825625 - 2²³ = 349893437017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1464024256 + ... + 1464024494.

Almost surely, 2^349901825625 is an apocalyptic number.

349901825625 is the 591525-th square number.

349901825625 is the 295763-rd centered octagonal number.

It is an amenable number.

349901825625 is an abundant number, since it is smaller than the sum of its proper divisors (371047531888).

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

349901825625 is an frugal number, since it uses more digits than its factorization.

349901825625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 349901825625 in words is "three hundred forty-nine billion, nine hundred one million, eight hundred twenty-five thousand, six hundred twenty-five".