346014396 has 384 divisors, whose sum is σ = 1241856000. Its totient is φ = 80621568.

The previous prime is 346014373. The next prime is 346014397. The reversal of 346014396 is 693410643.

346014396 is a `hidden beast` number, since 3 + 4 + 601 + 43 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 346014396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346014397) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3174390 + ... + 3174498.

It is an arithmetic number, because the mean of its divisors is an integer number (3234000).

Almost surely, 2^346014396 is an apocalyptic number.

346014396 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 346014396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620928000).

346014396 is an abundant number, since it is smaller than the sum of its proper divisors (895841604).

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

346014396 is a wasteful number, since it uses less digits than its factorization.

346014396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 346014396 is about 18601.4622005906. The cubic root of 346014396 is about 702.0446315403.

The spelling of 346014396 in words is "three hundred forty-six million, fourteen thousand, three hundred ninety-six".