345135870 has 64 divisors (see below), whose sum is σ = 974514240. Its totient is φ = 86621184.

The previous prime is 345135863. The next prime is 345135871. The reversal of 345135870 is 78531543.

It is a super-3 number, since 3×345135870³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345135871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33007 + ... + 42186.

It is an arithmetic number, because the mean of its divisors is an integer number (15226785).

Almost surely, 2^345135870 is an apocalyptic number.

345135870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345135870 is an abundant number, since it is smaller than the sum of its proper divisors (629378370).

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

345135870 is a wasteful number, since it uses less digits than its factorization.

345135870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75226 (or 75220 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 345135870 is about 18577.8327584248. The cubic root of 345135870 is about 701.4499672795.

The spelling of 345135870 in words is "three hundred forty-five million, one hundred thirty-five thousand, eight hundred seventy".