345948960 has 192 divisors, whose sum is σ = 1311206400. Its totient is φ = 74898432.

The previous prime is 345948949. The next prime is 345948961. The reversal of 345948960 is 69849543.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (345948961) 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, 61131 + ... + 66549.

It is an arithmetic number, because the mean of its divisors is an integer number (6829200).

Almost surely, 2^345948960 is an apocalyptic number.

345948960 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 345948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655603200).

345948960 is an abundant number, since it is smaller than the sum of its proper divisors (965257440).

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

345948960 is a wasteful number, since it uses less digits than its factorization.

345948960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5463 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 345948960 is about 18599.7032234388. The cubic root of 345948960 is about 702.0003733734. Note that the first 3 decimals are identical.

The spelling of 345948960 in words is "three hundred forty-five million, nine hundred forty-eight thousand, nine hundred sixty".