3330034400 has 144 divisors (see below), whose sum is σ = 10135601280. Its totient is φ = 1037913600.

The previous prime is 3330034363. The next prime is 3330034429. The reversal of 3330034400 is 44300333.

It is a happy number.

It is a super-2 number, since 2×3330034400² = 22178258210366720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34571 + ... + 88629.

It is an arithmetic number, because the mean of its divisors is an integer number (70386120).

Almost surely, 2^3330034400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3330034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067800640).

3330034400 is an abundant number, since it is smaller than the sum of its proper divisors (6805566880).

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

3330034400 is a wasteful number, since it uses less digits than its factorization.

3330034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54097 (or 54084 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 3330034400 is about 57706.4502460514. The cubic root of 3330034400 is about 1493.3086243431.

Adding to 3330034400 its reverse (44300333), we get a palindrome (3374334733).

The spelling of 3330034400 in words is "three billion, three hundred thirty million, thirty-four thousand, four hundred".