345906028800 has 324 divisors, whose sum is σ = 1282501300080. Its totient is φ = 92241192960.

The previous prime is 345906028781. The next prime is 345906028801. The reversal of 345906028800 is 8820609543.

345906028800 is a `hidden beast` number, since 34 + 5 + 9 + 0 + 602 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (345906028801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1443991 + ... + 1666409.

Almost surely, 2^345906028800 is an apocalyptic number.

345906028800 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 345906028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641250650040).

345906028800 is an abundant number, since it is smaller than the sum of its proper divisors (936595271280).

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

345906028800 is an equidigital number, since it uses as much as digits as its factorization.

345906028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222460 (or 222429 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 345906028800 in words is "three hundred forty-five billion, nine hundred six million, twenty-eight thousand, eight hundred".