3334221400 has 72 divisors (see below), whose sum is σ = 7815052260. Its totient is φ = 1322913600.

The previous prime is 3334221377. The next prime is 3334221409. The reversal of 3334221400 is 41224333.

It is a happy number.

3334221400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3334221400² = 22234064688435920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3334221409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12303265 + ... + 12303535.

Almost surely, 2^3334221400 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 3334221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907526130).

3334221400 is an abundant number, since it is smaller than the sum of its proper divisors (4480830860).

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

3334221400 is a wasteful number, since it uses less digits than its factorization.

3334221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3334221400 is about 57742.7172897154. The cubic root of 3334221400 is about 1493.9342299456.

Adding to 3334221400 its reverse (41224333), we get a palindrome (3375445733).

The spelling of 3334221400 in words is "three billion, three hundred thirty-four million, two hundred twenty-one thousand, four hundred".