346829616 has 120 divisors (see below), whose sum is σ = 1113685664. Its totient is φ = 98703360.

The previous prime is 346829599. The next prime is 346829633. The reversal of 346829616 is 616928643.

346829616 is a `hidden beast` number, since 3 + 4 + 6 + 8 + 29 + 616 = 666.

346829616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (346829599) and next prime (346829633).

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 23 ways as a sum of consecutive naturals, for example, 339186 + ... + 340206.

Almost surely, 2^346829616 is an apocalyptic number.

346829616 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 346829616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556842832).

346829616 is an abundant number, since it is smaller than the sum of its proper divisors (766856048).

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

346829616 is a wasteful number, since it uses less digits than its factorization.

346829616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1370 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 346829616 is about 18623.3621024776. The cubic root of 346829616 is about 702.5955449805.

The spelling of 346829616 in words is "three hundred forty-six million, eight hundred twenty-nine thousand, six hundred sixteen".