3455020800 has 1296 divisors, whose sum is σ = 16606437120. Its totient is φ = 663552000.

The previous prime is 3455020771. The next prime is 3455020801. The reversal of 3455020800 is 80205543.

3455020800 is a `hidden beast` number, since 3 + 455 + 0 + 208 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3455020801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84268780 + ... + 84268820.

Almost surely, 2^3455020800 is an apocalyptic number.

3455020800 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 3455020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303218560).

3455020800 is an abundant number, since it is smaller than the sum of its proper divisors (13151416320).

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

3455020800 is a wasteful number, since it uses less digits than its factorization.

3455020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3455020800 is about 58779.4249716684. The cubic root of 3455020800 is about 1511.7624553336.

The spelling of 3455020800 in words is "three billion, four hundred fifty-five million, twenty thousand, eight hundred".