349867440 has 120 divisors (see below), whose sum is σ = 1265387760. Its totient is φ = 86118912.

The previous prime is 349867439. The next prime is 349867447. The reversal of 349867440 is 44768943.

It is a tau number, because it is divible by the number of its divisors (120).

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 (349867447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9330 + ... + 28049.

It is an arithmetic number, because the mean of its divisors is an integer number (10544898).

Almost surely, 2^349867440 is an apocalyptic number.

349867440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349867440 is an abundant number, since it is smaller than the sum of its proper divisors (915520320).

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

349867440 is a wasteful number, since it uses less digits than its factorization.

349867440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37411 (or 37402 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 349867440 is about 18704.7437833294. The cubic root of 349867440 is about 704.6408915033.

The spelling of 349867440 in words is "three hundred forty-nine million, eight hundred sixty-seven thousand, four hundred forty".