349556064 has 96 divisors (see below), whose sum is σ = 1078043904. Its totient is φ = 97774080.

The previous prime is 349556059. The next prime is 349556071. The reversal of 349556064 is 460655943.

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, 997 + ... + 26459.

It is an arithmetic number, because the mean of its divisors is an integer number (11229624).

Almost surely, 2^349556064 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 349556064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539021952).

349556064 is an abundant number, since it is smaller than the sum of its proper divisors (728487840).

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

349556064 is a wasteful number, since it uses less digits than its factorization.

349556064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25500 (or 25492 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 349556064 is about 18696.4184805540. The cubic root of 349556064 is about 704.4317900368.

The spelling of 349556064 in words is "three hundred forty-nine million, five hundred fifty-six thousand, sixty-four".