349556480 has 144 divisors (see below), whose sum is σ = 1030862784. Its totient is φ = 110592000.

The previous prime is 349556479. The next prime is 349556483. The reversal of 349556480 is 84655943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349556483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114980 + ... + 117980.

Almost surely, 2^349556480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515431392).

349556480 is an abundant number, since it is smaller than the sum of its proper divisors (681306304).

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

349556480 is a wasteful number, since it uses less digits than its factorization.

349556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 349556480 is about 18696.4296056761. The cubic root of 349556480 is about 704.4320694803.

The spelling of 349556480 in words is "three hundred forty-nine million, five hundred fifty-six thousand, four hundred eighty".