3455359024320 has 896 divisors, whose sum is σ = 14734880563200. Its totient is φ = 744629760000.

The previous prime is 3455359024319. The next prime is 3455359024373. The reversal of 3455359024320 is 234209535543.

3455359024320 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 3 + 590 + 24 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 242457195 + ... + 242471445.

It is an arithmetic number, because the mean of its divisors is an integer number (16445179200).

Almost surely, 2^{3455359024320} is an apocalyptic number.

3455359024320 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 3455359024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7367440281600).

3455359024320 is an abundant number, since it is smaller than the sum of its proper divisors (11279521538880).

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

3455359024320 is a wasteful number, since it uses less digits than its factorization.

3455359024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14514 (or 14498 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 3455359024320 in words is "three trillion, four hundred fifty-five billion, three hundred fifty-nine million, twenty-four thousand, three hundred twenty".