349684992 has 72 divisors (see below), whose sum is σ = 1034100480. Its totient is φ = 116559360.

The previous prime is 349684969. The next prime is 349684999. The reversal of 349684992 is 299486943.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349684999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18384 + ... + 32207.

Almost surely, 2^349684992 is an apocalyptic number.

349684992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

349684992 is an abundant number, since it is smaller than the sum of its proper divisors (684415488).

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

349684992 is an equidigital number, since it uses as much as digits as its factorization.

349684992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50616 (or 50596 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 349684992 is about 18699.8660957773. The cubic root of 349684992 is about 704.5183854145.

It can be divided in two parts, 3496 and 84992, that added together give a palindrome (88488).

The spelling of 349684992 in words is "three hundred forty-nine million, six hundred eighty-four thousand, nine hundred ninety-two".