349362720 has 240 divisors, whose sum is σ = 1409462208. Its totient is φ = 79833600.

The previous prime is 349362719. The next prime is 349362731. The reversal of 349362720 is 27263943.

It is a happy number.

349362720 is a `hidden beast` number, since 3 + 4 + 9 + 3 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88795 + ... + 92645.

Almost surely, 2^349362720 is an apocalyptic number.

349362720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349362720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704731104).

349362720 is an abundant number, since it is smaller than the sum of its proper divisors (1060099488).

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

349362720 is a wasteful number, since it uses less digits than its factorization.

349362720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 349362720 is about 18691.2471494012. The cubic root of 349362720 is about 704.3018892925.

The spelling of 349362720 in words is "three hundred forty-nine million, three hundred sixty-two thousand, seven hundred twenty".