3353212400 has 60 divisors (see below), whose sum is σ = 8139239472. Its totient is φ = 1327441920.

The previous prime is 3353212399. The next prime is 3353212409. The reversal of 3353212400 is 42123533.

It is a super-2 number, since 2×3353212400² = 22488066799027520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3353212409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4412 + ... + 82011.

Almost surely, 2^3353212400 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 3353212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069619736).

3353212400 is an abundant number, since it is smaller than the sum of its proper divisors (4786027072).

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

3353212400 is a wasteful number, since it uses less digits than its factorization.

3353212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86538 (or 86527 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 3353212400 is about 57906.9287736796. The cubic root of 3353212400 is about 1496.7652366258.

Adding to 3353212400 its reverse (42123533), we get a palindrome (3395335933).

The spelling of 3353212400 in words is "three billion, three hundred fifty-three million, two hundred twelve thousand, four hundred".