3352002400 has 144 divisors (see below), whose sum is σ = 8504455680. Its totient is φ = 1289177600.

The previous prime is 3352002391. The next prime is 3352002413. The reversal of 3352002400 is 42002533.

It is a super-2 number, since 2×3352002400² = 22471840179211520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2217645 + ... + 2219155.

It is an arithmetic number, because the mean of its divisors is an integer number (59058720).

Almost surely, 2^3352002400 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 3352002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252227840).

3352002400 is an abundant number, since it is smaller than the sum of its proper divisors (5152453280).

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

3352002400 is a wasteful number, since it uses less digits than its factorization.

3352002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 3352002400 is about 57896.4800311729. The cubic root of 3352002400 is about 1496.5851800506.

Adding to 3352002400 its reverse (42002533), we get a palindrome (3394004933).

The spelling of 3352002400 in words is "three billion, three hundred fifty-two million, two thousand, four hundred".