345777516 has 108 divisors (see below), whose sum is σ = 1022668920. Its totient is φ = 98219520.

The previous prime is 345777511. The next prime is 345777529. The reversal of 345777516 is 615777543.

345777516 is a `hidden beast` number, since 3 + 4 + 577 + 75 + 1 + 6 = 666.

It is a super-2 number, since 2×345777516² = 239124181142260512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345777511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 371740 + ... + 372668.

Almost surely, 2^345777516 is an apocalyptic number.

345777516 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 345777516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511334460).

345777516 is an abundant number, since it is smaller than the sum of its proper divisors (676891404).

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

345777516 is a wasteful number, since it uses less digits than its factorization.

345777516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1152 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The square root of 345777516 is about 18595.0938690828. The cubic root of 345777516 is about 701.8843893672.

The spelling of 345777516 in words is "three hundred forty-five million, seven hundred seventy-seven thousand, five hundred sixteen".