345679488 has 320 divisors, whose sum is σ = 1285542720. Its totient is φ = 89579520.

The previous prime is 345679441. The next prime is 345679531. The reversal of 345679488 is 884976543.

345679488 is a `hidden beast` number, since 34 + 567 + 9 + 48 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 798120 + ... + 798552.

It is an arithmetic number, because the mean of its divisors is an integer number (4017321).

Almost surely, 2^345679488 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 345679488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642771360).

345679488 is an abundant number, since it is smaller than the sum of its proper divisors (939863232).

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

345679488 is a wasteful number, since it uses less digits than its factorization.

345679488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 456 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 345679488 is about 18592.4578256884. The cubic root of 345679488 is about 701.8180549732.

It can be divided in two parts, 3456 and 79488, that added together give a square (82944 = 288²).

The spelling of 345679488 in words is "three hundred forty-five million, six hundred seventy-nine thousand, four hundred eighty-eight".