345908640 has 384 divisors, whose sum is σ = 1393459200. Its totient is φ = 71500800.

The previous prime is 345908627. The next prime is 345908653. The reversal of 345908640 is 46809543.

It is an interprime number because it is at equal distance from previous prime (345908627) and next prime (345908653).

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, 1810945 + ... + 1811135.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2^345908640 is an apocalyptic number.

345908640 is a gapful number since it is divisible by the number (30) 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 345908640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696729600).

345908640 is an abundant number, since it is smaller than the sum of its proper divisors (1047550560).

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

345908640 is a wasteful number, since it uses less digits than its factorization.

345908640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 345908640 is about 18598.6193035935. The cubic root of 345908640 is about 701.9730998369.

The spelling of 345908640 in words is "three hundred forty-five million, nine hundred eight thousand, six hundred forty".