349463040 has 80 divisors (see below), whose sum is σ = 1117214208. Its totient is φ = 93188096.

The previous prime is 349463017. The next prime is 349463063. The reversal of 349463040 is 40364943.

It is an interprime number because it is at equal distance from previous prime (349463017) and next prime (349463063).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 349462992 and 349463010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15072 + ... + 30431.

Almost surely, 2^349463040 is an apocalyptic number.

349463040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349463040 is an abundant number, since it is smaller than the sum of its proper divisors (767751168).

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

349463040 is an equidigital number, since it uses as much as digits as its factorization.

349463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45529 (or 45513 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 349463040 is about 18693.9305658280. The cubic root of 349463040 is about 704.3692966027.

The spelling of 349463040 in words is "three hundred forty-nine million, four hundred sixty-three thousand, forty".