3314242400 has 216 divisors, whose sum is σ = 9578058840. Its totient is φ = 1116272640.

The previous prime is 3314242387. The next prime is 3314242411. The reversal of 3314242400 is 42424133.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2312084 + ... + 2313516.

It is an arithmetic number, because the mean of its divisors is an integer number (44342865).

Almost surely, 2^3314242400 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 3314242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789029420).

3314242400 is an abundant number, since it is smaller than the sum of its proper divisors (6263816440).

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

3314242400 is a wasteful number, since it uses less digits than its factorization.

3314242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3314242400 is about 57569.4571800013. The cubic root of 3314242400 is about 1490.9443137894.

Adding to 3314242400 its reverse (42424133), we get a palindrome (3356666533).

The spelling of 3314242400 in words is "three billion, three hundred fourteen million, two hundred forty-two thousand, four hundred".