3329740800 has 234 divisors, whose sum is σ = 11929716422. Its totient is φ = 887685120.

The previous prime is 3329740781. The next prime is 3329740801. The reversal of 3329740800 is 80479233.

It can be written as a sum of positive squares in 3 ways, for example, as 56070144 + 3273670656 = 7488^2 + 57216^2 .

It is a super-2 number, since 2×3329740800² = 22174347590369280000, 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 (3329740801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 919794 + ... + 923406.

Almost surely, 2^3329740800 is an apocalyptic number.

3329740800 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 3329740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964858211).

3329740800 is an abundant number, since it is smaller than the sum of its proper divisors (8599975622).

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

3329740800 is a wasteful number, since it uses less digits than its factorization.

3329740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3329740800 is about 57703.9062802511. The cubic root of 3329740800 is about 1493.2647360780.

The spelling of 3329740800 in words is "three billion, three hundred twenty-nine million, seven hundred forty thousand, eight hundred".