346146696 has 224 divisors, whose sum is σ = 1138468800. Its totient is φ = 96577920.

The previous prime is 346146683. The next prime is 346146709. The reversal of 346146696 is 696641643.

It is an interprime number because it is at equal distance from previous prime (346146683) and next prime (346146709).

It is a super-3 number, since 3×346146696³ (a number of 27 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2490195 + ... + 2490333.

It is an arithmetic number, because the mean of its divisors is an integer number (5082450).

Almost surely, 2^346146696 is an apocalyptic number.

346146696 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 346146696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569234400).

346146696 is an abundant number, since it is smaller than the sum of its proper divisors (792322104).

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

346146696 is a wasteful number, since it uses less digits than its factorization.

346146696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 346146696 is about 18605.0180327781. The cubic root of 346146696 is about 702.1340966711.

The spelling of 346146696 in words is "three hundred forty-six million, one hundred forty-six thousand, six hundred ninety-six".