345962916 has 72 divisors (see below), whose sum is σ = 951621944. Its totient is φ = 105338880.

The previous prime is 345962891. The next prime is 345962921. The reversal of 345962916 is 619269543.

345962916 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 629 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50466816 + 295496100 = 7104^2 + 17190^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41586 + ... + 49206.

Almost surely, 2^345962916 is an apocalyptic number.

345962916 is a gapful number since it is divisible by the number (36) 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 345962916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475810972).

345962916 is an abundant number, since it is smaller than the sum of its proper divisors (605659028).

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

345962916 is a wasteful number, since it uses less digits than its factorization.

345962916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7741 (or 7736 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 345962916 is about 18600.0783869316. The cubic root of 345962916 is about 702.0098130949.

It can be divided in two parts, 34596 and 2916, that multiplied together give a square (100881936 = 10044²).

The spelling of 345962916 in words is "three hundred forty-five million, nine hundred sixty-two thousand, nine hundred sixteen".