349764597 has 108 divisors (see below), whose sum is σ = 671923980. Its totient is φ = 174781152.

The previous prime is 349764593. The next prime is 349764601. The reversal of 349764597 is 795467943.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

349764597 is a `hidden beast` number, since 3 + 49 + 7 + 6 + 4 + 597 = 666.

It is an interprime number because it is at equal distance from previous prime (349764593) and next prime (349764601).

It can be written as a sum of positive squares in 2 ways, for example, as 12895281 + 336869316 = 3591^2 + 18354^2 .

It is not a de Polignac number, because 349764597 - 2² = 349764593 is a prime.

Its product of digits (5715360) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349764593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18408654 + ... + 18408672.

Almost surely, 2^349764597 is an apocalyptic number.

It is an amenable number.

349764597 is a deficient number, since it is larger than the sum of its proper divisors (322159383).

349764597 is a wasteful number, since it uses less digits than its factorization.

349764597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 42 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 349764597 is about 18701.9944658317. The cubic root of 349764597 is about 704.5718420323.

The spelling of 349764597 in words is "three hundred forty-nine million, seven hundred sixty-four thousand, five hundred ninety-seven".