349504956 has 72 divisors (see below), whose sum is σ = 925352064. Its totient is φ = 115337520.

The previous prime is 349504933. The next prime is 349504957. The reversal of 349504956 is 659405943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349504957) 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, 98371 + ... + 101861.

It is an arithmetic number, because the mean of its divisors is an integer number (12852112).

Almost surely, 2^349504956 is an apocalyptic number.

349504956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349504956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462676032).

349504956 is an abundant number, since it is smaller than the sum of its proper divisors (575847108).

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

349504956 is a wasteful number, since it uses less digits than its factorization.

349504956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 349504956 is about 18695.0516447535. The cubic root of 349504956 is about 704.3974571039.

The spelling of 349504956 in words is "three hundred forty-nine million, five hundred four thousand, nine hundred fifty-six".