3455308718400 has 2016 divisors, whose sum is σ = 15369826268160. Its totient is φ = 662999040000.

The previous prime is 3455308718399. The next prime is 3455308718423. The reversal of 3455308718400 is 48178035543.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3455308718400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3167101855 + ... + 3167102945.

It is an arithmetic number, because the mean of its divisors is an integer number (7623921760).

Almost surely, 2^{3455308718400} is an apocalyptic number.

3455308718400 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 3455308718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7684913134080).

3455308718400 is an abundant number, since it is smaller than the sum of its proper divisors (11914517549760).

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

3455308718400 is a wasteful number, since it uses less digits than its factorization.

3455308718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 3455308718400 in words is "three trillion, four hundred fifty-five billion, three hundred eight million, seven hundred eighteen thousand, four hundred".