345356730 has 128 divisors (see below), whose sum is σ = 1011916800. Its totient is φ = 83426112.

The previous prime is 345356729. The next prime is 345356747. The reversal of 345356730 is 37653543.

345356730 is a `hidden beast` number, since 34 + 535 + 67 + 30 = 666.

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, 116527 + ... + 119453.

It is an arithmetic number, because the mean of its divisors is an integer number (7905600).

Almost surely, 2^345356730 is an apocalyptic number.

345356730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345356730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505958400).

345356730 is an abundant number, since it is smaller than the sum of its proper divisors (666560070).

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

345356730 is a wasteful number, since it uses less digits than its factorization.

345356730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The square root of 345356730 is about 18583.7759887489. The cubic root of 345356730 is about 701.5995597723.

The spelling of 345356730 in words is "three hundred forty-five million, three hundred fifty-six thousand, seven hundred thirty".