345060864 has 160 divisors (see below), whose sum is σ = 1035276000. Its totient is φ = 113467392.

The previous prime is 345060857. The next prime is 345060871. The reversal of 345060864 is 468060543.

345060864 is a `hidden beast` number, since 3 + 45 + 0 + 608 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (345060857) and next prime (345060871).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1506702 + ... + 1506930.

It is an arithmetic number, because the mean of its divisors is an integer number (6470475).

Almost surely, 2^345060864 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 345060864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517638000).

345060864 is an abundant number, since it is smaller than the sum of its proper divisors (690215136).

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

345060864 is a wasteful number, since it uses less digits than its factorization.

345060864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 345060864 is about 18575.8139525567. The cubic root of 345060864 is about 701.3991498357.

The spelling of 345060864 in words is "three hundred forty-five million, sixty thousand, eight hundred sixty-four".