346706976 has 384 divisors, whose sum is σ = 1254113280. Its totient is φ = 81100800.

The previous prime is 346706953. The next prime is 346706999. The reversal of 346706976 is 679607643.

It is an interprime number because it is at equal distance from previous prime (346706953) and next prime (346706999).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3895540 + ... + 3895628.

It is an arithmetic number, because the mean of its divisors is an integer number (3265920).

Almost surely, 2^346706976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346706976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627056640).

346706976 is an abundant number, since it is smaller than the sum of its proper divisors (907406304).

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

346706976 is a wasteful number, since it uses less digits than its factorization.

346706976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The square root of 346706976 is about 18620.0691728038. The cubic root of 346706976 is about 702.5127219151.

The spelling of 346706976 in words is "three hundred forty-six million, seven hundred six thousand, nine hundred seventy-six".