345481344 has 384 divisors, whose sum is σ = 1202947200. Its totient is φ = 94076928.

The previous prime is 345481337. The next prime is 345481363. The reversal of 345481344 is 443184543.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 345481299 and 345481308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5855587 + ... + 5855645.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675).

Almost surely, 2^345481344 is an apocalyptic number.

345481344 is a gapful number since it is divisible by the number (34) 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 345481344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601473600).

345481344 is an abundant number, since it is smaller than the sum of its proper divisors (857465856).

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

345481344 is a wasteful number, since it uses less digits than its factorization.

345481344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 345481344 is about 18587.1284495481. The cubic root of 345481344 is about 701.6839349574.

The spelling of 345481344 in words is "three hundred forty-five million, four hundred eighty-one thousand, three hundred forty-four".