345630720 has 96 divisors (see below), whose sum is σ = 1105846560. Its totient is φ = 92160000.

The previous prime is 345630709. The next prime is 345630721. The reversal of 345630720 is 27036543.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (345630721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25095 + ... + 36345.

It is an arithmetic number, because the mean of its divisors is an integer number (11519235).

Almost surely, 2^345630720 is an apocalyptic number.

345630720 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 345630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552923280).

345630720 is an abundant number, since it is smaller than the sum of its proper divisors (760215840).

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

345630720 is a wasteful number, since it uses less digits than its factorization.

345630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11281 (or 11261 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 345630720 is about 18591.1462798828. The cubic root of 345630720 is about 701.7850495701.

The spelling of 345630720 in words is "three hundred forty-five million, six hundred thirty thousand, seven hundred twenty".