345038328 has 96 divisors (see below), whose sum is σ = 988041600. Its totient is φ = 108475200.

The previous prime is 345038303. The next prime is 345038363. The reversal of 345038328 is 823830543.

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 = 345038292 and 345038301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425043 + ... + 425853.

It is an arithmetic number, because the mean of its divisors is an integer number (10292100).

Almost surely, 2^345038328 is an apocalyptic number.

345038328 is a gapful number since it is divisible by the number (38) 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 345038328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494020800).

345038328 is an abundant number, since it is smaller than the sum of its proper divisors (643003272).

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

345038328 is a wasteful number, since it uses less digits than its factorization.

345038328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 345038328 is about 18575.2073474295. The cubic root of 345038328 is about 701.3838799930.

The spelling of 345038328 in words is "three hundred forty-five million, thirty-eight thousand, three hundred twenty-eight".