349509984 has 96 divisors (see below), whose sum is σ = 948586464. Its totient is φ = 112619520.

The previous prime is 349509973. The next prime is 349509991. The reversal of 349509984 is 489905943.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370954 + ... + 371894.

It is an arithmetic number, because the mean of its divisors is an integer number (9881109).

Almost surely, 2^349509984 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 349509984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474293232).

349509984 is an abundant number, since it is smaller than the sum of its proper divisors (599076480).

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

349509984 is a wasteful number, since it uses less digits than its factorization.

349509984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 349509984 is about 18695.1861183568. The cubic root of 349509984 is about 704.4008349229.

The spelling of 349509984 in words is "three hundred forty-nine million, five hundred nine thousand, nine hundred eighty-four".