345526416 has 120 divisors (see below), whose sum is σ = 1011836280. Its totient is φ = 109928448.

The previous prime is 345526409. The next prime is 345526417. The reversal of 345526416 is 614625543.

345526416 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 2 + 641 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 341510400 = 2004^2 + 18480^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (345526417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404646 + ... + 405498.

It is an arithmetic number, because the mean of its divisors is an integer number (8431969).

Almost surely, 2^345526416 is an apocalyptic number.

345526416 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 345526416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505918140).

345526416 is an abundant number, since it is smaller than the sum of its proper divisors (666309864).

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

345526416 is a wasteful number, since it uses less digits than its factorization.

345526416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 984 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 345526416 is about 18588.3408619489. The cubic root of 345526416 is about 701.7144478670.

The spelling of 345526416 in words is "three hundred forty-five million, five hundred twenty-six thousand, four hundred sixteen".