345874560 has 128 divisors (see below), whose sum is σ = 1110706560. Its totient is φ = 91545600.

The previous prime is 345874553. The next prime is 345874567. The reversal of 345874560 is 65478543.

It is an interprime number because it is at equal distance from previous prime (345874553) and next prime (345874567).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×345874560² = 239258422510387200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345874567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289324 + ... + 290516.

It is an arithmetic number, because the mean of its divisors is an integer number (8677395).

Almost surely, 2^345874560 is an apocalyptic number.

345874560 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 345874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555353280).

345874560 is an abundant number, since it is smaller than the sum of its proper divisors (764832000).

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

345874560 is a wasteful number, since it uses less digits than its factorization.

345874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 345874560 is about 18597.7030839832. The cubic root of 345874560 is about 701.9500455521.

The spelling of 345874560 in words is "three hundred forty-five million, eight hundred seventy-four thousand, five hundred sixty".