3332210400 has 432 divisors, whose sum is σ = 12429235728. Its totient is φ = 870912000.

The previous prime is 3332210389. The next prime is 3332210423. The reversal of 3332210400 is 40122333.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3332210400² = 22207252299736320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11858260 + ... + 11858540.

It is an arithmetic number, because the mean of its divisors is an integer number (28771379).

Almost surely, 2^3332210400 is an apocalyptic number.

3332210400 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 3332210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6214617864).

3332210400 is an abundant number, since it is smaller than the sum of its proper divisors (9097025328).

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

3332210400 is a wasteful number, since it uses less digits than its factorization.

3332210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3332210400 is about 57725.3012118603. The cubic root of 3332210400 is about 1493.6338193867.

Adding to 3332210400 its reverse (40122333), we get a palindrome (3372332733).

The spelling of 3332210400 in words is "three billion, three hundred thirty-two million, two hundred ten thousand, four hundred".