345426120 has 320 divisors, whose sum is σ = 1280664000. Its totient is φ = 82985472.

The previous prime is 345426101. The next prime is 345426139. The reversal of 345426120 is 21624543.

345426120 is a `hidden beast` number, since 3 + 4 + 5 + 42 + 612 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (345426101) and next prime (345426139).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2485011 + ... + 2485149.

It is an arithmetic number, because the mean of its divisors is an integer number (4002075).

Almost surely, 2^345426120 is an apocalyptic number.

345426120 is a gapful number since it is divisible by the number (30) 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 345426120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640332000).

345426120 is an abundant number, since it is smaller than the sum of its proper divisors (935237880).

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

345426120 is a wasteful number, since it uses less digits than its factorization.

345426120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 345426120 is about 18585.6428460250. The cubic root of 345426120 is about 701.6465457137.

The spelling of 345426120 in words is "three hundred forty-five million, four hundred twenty-six thousand, one hundred twenty".