3358798800 has 480 divisors, whose sum is σ = 13346860032. Its totient is φ = 704471040.

The previous prime is 3358798799. The next prime is 3358798873. The reversal of 3358798800 is 88978533.

It is a happy number.

It is a super-2 number, since 2×3358798800² = 22563058757762880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6140127 + ... + 6140673.

Almost surely, 2^3358798800 is an apocalyptic number.

3358798800 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 3358798800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6673430016).

3358798800 is an abundant number, since it is smaller than the sum of its proper divisors (9988061232).

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

3358798800 is a wasteful number, since it uses less digits than its factorization.

3358798800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 3358798800 is about 57955.1447241744. The cubic root of 3358798800 is about 1497.5959713781.

The spelling of 3358798800 in words is "three billion, three hundred fifty-eight million, seven hundred ninety-eight thousand, eight hundred".