345398976 has 168 divisors, whose sum is σ = 1076187840. Its totient is φ = 105283584.

The previous prime is 345398971. The next prime is 345398983. The reversal of 345398976 is 679893543.

345398976 is a `hidden beast` number, since 34 + 539 + 8 + 9 + 76 = 666.

It is not an unprimeable number, because it can be changed into a prime (345398971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1445065 + ... + 1445303.

It is an arithmetic number, because the mean of its divisors is an integer number (6405880).

Almost surely, 2^345398976 is an apocalyptic number.

345398976 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 345398976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538093920).

345398976 is an abundant number, since it is smaller than the sum of its proper divisors (730788864).

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

345398976 is a wasteful number, since it uses less digits than its factorization.

345398976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 345398976 is about 18584.9125905935. The cubic root of 345398976 is about 701.6281664891.

The spelling of 345398976 in words is "three hundred forty-five million, three hundred ninety-eight thousand, nine hundred seventy-six".