345715128 has 224 divisors, whose sum is σ = 1126139760. Its totient is φ = 98288640.

The previous prime is 345715091. The next prime is 345715133. The reversal of 345715128 is 821517543.

345715128 is a `hidden beast` number, since 34 + 571 + 51 + 2 + 8 = 666.

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

Its product of digits (33600) is a multiple of the sum of its prime divisors (350).

It is a junction number, because it is equal to n+sod(n) for n = 345715092 and 345715101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1090426 + ... + 1090742.

Almost surely, 2^345715128 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 345715128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563069880).

345715128 is an abundant number, since it is smaller than the sum of its proper divisors (780424632).

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

345715128 is a wasteful number, since it uses less digits than its factorization.

345715128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 350 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 345715128 is about 18593.4162541476. The cubic root of 345715128 is about 701.8421735925.

The spelling of 345715128 in words is "three hundred forty-five million, seven hundred fifteen thousand, one hundred twenty-eight".