349652601 has 27 divisors (see below), whose sum is σ = 529922757. Its totient is φ = 222144120.

The previous prime is 349652593. The next prime is 349652603. The reversal of 349652601 is 106256943.

It is a happy number.

The square root of 349652601 is 18699.

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

349652601 is a `hidden beast` number, since 3 + 49 + 6 + 5 + 2 + 601 = 666.

It is not a de Polignac number, because 349652601 - 2³ = 349652593 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (349652603) 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, 1290096 + ... + 1290366.

Almost surely, 2^349652601 is an apocalyptic number.

349652601 is the 18699-th square number.

349652601 is the 9350-th centered octagonal number.

It is an amenable number.

349652601 is a deficient number, since it is larger than the sum of its proper divisors (180270156).

349652601 is an equidigital number, since it uses as much as digits as its factorization.

349652601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 349652601 is about 704.4966317789.

Multiplying 349652601 by its sum of digits (36), we get a square (12587493636 = 112194²).

The spelling of 349652601 in words is "three hundred forty-nine million, six hundred fifty-two thousand, six hundred one".