3455788800 has 108 divisors (see below), whose sum is σ = 11404886360. Its totient is φ = 921538560.

The previous prime is 3455788717. The next prime is 3455788813. The reversal of 3455788800 is 88875543.

3455788800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3455788800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70795 + ... + 109194.

Almost surely, 2^3455788800 is an apocalyptic number.

3455788800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3455788800 is an abundant number, since it is smaller than the sum of its proper divisors (7949097560).

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

3455788800 is a wasteful number, since it uses less digits than its factorization.

3455788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180018 (or 179999 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The square root of 3455788800 is about 58785.9575068740. The cubic root of 3455788800 is about 1511.8744611763.

The spelling of 3455788800 in words is "three billion, four hundred fifty-five million, seven hundred eighty-eight thousand, eight hundred".