345808512 has 384 divisors, whose sum is σ = 1249622400. Its totient is φ = 89579520.

The previous prime is 345808487. The next prime is 345808513. The reversal of 345808512 is 215808543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (345808513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5668962 + ... + 5669022.

It is an arithmetic number, because the mean of its divisors is an integer number (3254225).

Almost surely, 2^345808512 is an apocalyptic number.

345808512 is a gapful number since it is divisible by the number (32) 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 345808512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624811200).

345808512 is an abundant number, since it is smaller than the sum of its proper divisors (903813888).

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

345808512 is a wasteful number, since it uses less digits than its factorization.

345808512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 345808512 is about 18595.9272960506. The cubic root of 345808512 is about 701.9053613868.

The spelling of 345808512 in words is "three hundred forty-five million, eight hundred eight thousand, five hundred twelve".