3330478800 has 360 divisors, whose sum is σ = 13019904768. Its totient is φ = 781056000.

The previous prime is 3330478751. The next prime is 3330478807. The reversal of 3330478800 is 88740333.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3330478800² = 22184178074498880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330478807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1226244 + ... + 1228956.

Almost surely, 2^3330478800 is an apocalyptic number.

3330478800 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 3330478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509952384).

3330478800 is an abundant number, since it is smaller than the sum of its proper divisors (9689425968).

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

3330478800 is a wasteful number, since it uses less digits than its factorization.

3330478800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3330478800 is about 57710.3006403536. The cubic root of 3330478800 is about 1493.3750497665.

The spelling of 3330478800 in words is "three billion, three hundred thirty million, four hundred seventy-eight thousand, eight hundred".