349056396 has 72 divisors (see below), whose sum is σ = 965865264. Its totient is φ = 105632640.

The previous prime is 349056371. The next prime is 349056397. The reversal of 349056396 is 693650943.

It is a happy number.

349056396 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 5 + 639 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (349056397) 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, 22435 + ... + 34661.

Almost surely, 2^349056396 is an apocalyptic number.

349056396 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 349056396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482932632).

349056396 is an abundant number, since it is smaller than the sum of its proper divisors (616808868).

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

349056396 is a wasteful number, since it uses less digits than its factorization.

349056396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12311 (or 12306 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 349056396 is about 18683.0510356312. The cubic root of 349056396 is about 704.0959832758.

The spelling of 349056396 in words is "three hundred forty-nine million, fifty-six thousand, three hundred ninety-six".