3334034400 has 144 divisors (see below), whose sum is σ = 10954548864. Its totient is φ = 880698880.

The previous prime is 3334034399. The next prime is 3334034413. The reversal of 3334034400 is 44304333.

3334034400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3334034400² = 22231570760766720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 250309 + ... + 263291.

It is an arithmetic number, because the mean of its divisors is an integer number (76073256).

Almost surely, 2^3334034400 is an apocalyptic number.

3334034400 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 3334034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5477274432).

3334034400 is an abundant number, since it is smaller than the sum of its proper divisors (7620514464).

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

3334034400 is a wasteful number, since it uses less digits than its factorization.

3334034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13113 (or 13100 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3334034400 is about 57741.0980151919. The cubic root of 3334034400 is about 1493.9063002942.

Adding to 3334034400 its reverse (44304333), we get a palindrome (3378338733).

The spelling of 3334034400 in words is "three billion, three hundred thirty-four million, thirty-four thousand, four hundred".