349932960 has 480 divisors, whose sum is σ = 1393362432. Its totient is φ = 82114560.

The previous prime is 349932941. The next prime is 349932967. The reversal of 349932960 is 69239943.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (349932967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5222847 + ... + 5222913.

Almost surely, 2^349932960 is an apocalyptic number.

349932960 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 349932960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696681216).

349932960 is an abundant number, since it is smaller than the sum of its proper divisors (1043429472).

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

349932960 is a wasteful number, since it uses less digits than its factorization.

349932960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 349932960 is about 18706.4951286979. The cubic root of 349932960 is about 704.6848750089.

The spelling of 349932960 in words is "three hundred forty-nine million, nine hundred thirty-two thousand, nine hundred sixty".