345482592 has 192 divisors, whose sum is σ = 1133927424. Its totient is φ = 89671680.

The previous prime is 345482587. The next prime is 345482593. The reversal of 345482592 is 295284543.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345482593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 619978 + ... + 620534.

It is an arithmetic number, because the mean of its divisors is an integer number (5905872).

Almost surely, 2^345482592 is an apocalyptic number.

345482592 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 345482592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566963712).

345482592 is an abundant number, since it is smaller than the sum of its proper divisors (788444832).

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

345482592 is a wasteful number, since it uses less digits than its factorization.

345482592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 653 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 345482592 is about 18587.1620211371. The cubic root of 345482592 is about 701.6847798660.

The spelling of 345482592 in words is "three hundred forty-five million, four hundred eighty-two thousand, five hundred ninety-two".