345833712 has 240 divisors, whose sum is σ = 1167758592. Its totient is φ = 97044480.

The previous prime is 345833711. The next prime is 345833713. The reversal of 345833712 is 217338543.

345833712 is a `hidden beast` number, since 3 + 4 + 583 + 3 + 71 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (345833711) and next prime (345833713).

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

Its product of digits (60480) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345833711) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2639887 + ... + 2640017.

Almost surely, 2^345833712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345833712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583879296).

345833712 is an abundant number, since it is smaller than the sum of its proper divisors (821924880).

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

345833712 is a wasteful number, since it uses less digits than its factorization.

345833712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 345833712 is about 18596.6048514238. The cubic root of 345833712 is about 701.9224108856.

The spelling of 345833712 in words is "three hundred forty-five million, eight hundred thirty-three thousand, seven hundred twelve".