3314002400 has 72 divisors (see below), whose sum is σ = 8098716024. Its totient is φ = 1324224000.

The previous prime is 3314002399. The next prime is 3314002411. The reversal of 3314002400 is 42004133.

It is a super-2 number, since 2×3314002400² = 21965223814411520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1160975 + ... + 1163825.

It is an arithmetic number, because the mean of its divisors is an integer number (112482167).

Almost surely, 2^3314002400 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 3314002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049358012).

3314002400 is an abundant number, since it is smaller than the sum of its proper divisors (4784713624).

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

3314002400 is a wasteful number, since it uses less digits than its factorization.

3314002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3314002400 is about 57567.3727036418. The cubic root of 3314002400 is about 1490.9083241393.

Adding to 3314002400 its reverse (42004133), we get a palindrome (3356006533).

The spelling of 3314002400 in words is "three billion, three hundred fourteen million, two thousand, four hundred".