345588672 has 224 divisors, whose sum is σ = 1104009984. Its totient is φ = 94003200.

The previous prime is 345588667. The next prime is 345588703. The reversal of 345588672 is 276885543.

345588672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1125543 + ... + 1125849.

It is an arithmetic number, because the mean of its divisors is an integer number (4928616).

Almost surely, 2^345588672 is an apocalyptic number.

345588672 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 345588672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552004992).

345588672 is an abundant number, since it is smaller than the sum of its proper divisors (758421312).

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

345588672 is a wasteful number, since it uses less digits than its factorization.

345588672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The square root of 345588672 is about 18590.0153846090. The cubic root of 345588672 is about 701.7565896630.

The spelling of 345588672 in words is "three hundred forty-five million, five hundred eighty-eight thousand, six hundred seventy-two".