345783984 has 240 divisors, whose sum is σ = 1149426432. Its totient is φ = 88736256.

The previous prime is 345783967. The next prime is 345783989. The reversal of 345783984 is 489387543.

It is not an unprimeable number, because it can be changed into a prime (345783989) 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, 1314637 + ... + 1314899.

Almost surely, 2^345783984 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 345783984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574713216).

345783984 is an abundant number, since it is smaller than the sum of its proper divisors (803642448).

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

345783984 is a wasteful number, since it uses less digits than its factorization.

345783984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 331 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 345783984 is about 18595.2677851114. The cubic root of 345783984 is about 701.8887657458. Note that the first 3 decimals are identical.

The spelling of 345783984 in words is "three hundred forty-five million, seven hundred eighty-three thousand, nine hundred eighty-four".