345174336 has 168 divisors, whose sum is σ = 1100596224. Its totient is φ = 102712320.

The previous prime is 345174329. The next prime is 345174353. The reversal of 345174336 is 633471543.

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

It is a self number, because there is not a number n which added to its sum of digits gives 345174336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231385 + ... + 232871.

It is an arithmetic number, because the mean of its divisors is an integer number (6551168).

Almost surely, 2^345174336 is an apocalyptic number.

345174336 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 345174336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550298112).

345174336 is an abundant number, since it is smaller than the sum of its proper divisors (755421888).

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

345174336 is a wasteful number, since it uses less digits than its factorization.

345174336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1536 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 345174336 is about 18578.8679956557. The cubic root of 345174336 is about 701.4760255891.

The spelling of 345174336 in words is "three hundred forty-five million, one hundred seventy-four thousand, three hundred thirty-six".