349510464 has 70 divisors (see below), whose sum is σ = 1036073874. Its totient is φ = 116501760.

The previous prime is 349510439. The next prime is 349510501. The reversal of 349510464 is 464015943.

349510464 is a `hidden beast` number, since 3 + 495 + 104 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 311169600 + 38340864 = 17640^2 + 6192^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 28527 + ... + 38894.

Almost surely, 2^349510464 is an apocalyptic number.

It is an amenable number.

349510464 is an abundant number, since it is smaller than the sum of its proper divisors (686563410).

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

349510464 is an equidigital number, since it uses as much as digits as its factorization.

349510464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67445 (or 67426 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 349510464 is about 18695.1989558817. The cubic root of 349510464 is about 704.4011573860.

The spelling of 349510464 in words is "three hundred forty-nine million, five hundred ten thousand, four hundred sixty-four".