345913407 has 48 divisors (see below), whose sum is σ = 605509632. Its totient is φ = 186079680.

The previous prime is 345913291. The next prime is 345913409. The reversal of 345913407 is 704319543.

345913407 is a `hidden beast` number, since 34 + 591 + 34 + 0 + 7 = 666.

It is not a de Polignac number, because 345913407 - 2⁸ = 345913151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345913409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69868 + ... + 74654.

It is an arithmetic number, because the mean of its divisors is an integer number (12614784).

Almost surely, 2^345913407 is an apocalyptic number.

345913407 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

345913407 is a deficient number, since it is larger than the sum of its proper divisors (259596225).

345913407 is a wasteful number, since it uses less digits than its factorization.

345913407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4868 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 345913407 is about 18598.7474578263. The cubic root of 345913407 is about 701.9763244749.

The spelling of 345913407 in words is "three hundred forty-five million, nine hundred thirteen thousand, four hundred seven".