3350300400 has 480 divisors, whose sum is σ = 13008096000. Its totient is φ = 815754240.

The previous prime is 3350300333. The next prime is 3350300423. The reversal of 3350300400 is 40030533.

It is a happy number.

3350300400 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 2×3350300400² = 22449025540480320000, 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 95 ways as a sum of consecutive naturals, for example, 5950519 + ... + 5951081.

It is an arithmetic number, because the mean of its divisors is an integer number (27100200).

Almost surely, 2^3350300400 is an apocalyptic number.

3350300400 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 3350300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504048000).

3350300400 is an abundant number, since it is smaller than the sum of its proper divisors (9657795600).

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

3350300400 is a wasteful number, since it uses less digits than its factorization.

3350300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 3350300400 is about 57881.7795165283. The cubic root of 3350300400 is about 1496.3318370324.

Adding to 3350300400 its reverse (40030533), we get a palindrome (3390330933).

The spelling of 3350300400 in words is "three billion, three hundred fifty million, three hundred thousand, four hundred".