3330350400 has 504 divisors, whose sum is σ = 12624226720. Its totient is φ = 761978880.

The previous prime is 3330350377. The next prime is 3330350407. The reversal of 3330350400 is 40530333.

It is a super-2 number, since 2×3330350400² = 22182467573560320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330350407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62836774 + ... + 62836826.

Almost surely, 2^3330350400 is an apocalyptic number.

3330350400 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 3330350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6312113360).

3330350400 is an abundant number, since it is smaller than the sum of its proper divisors (9293876320).

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

3330350400 is a wasteful number, since it uses less digits than its factorization.

3330350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 21.

The square root of 3330350400 is about 57709.1881765807. The cubic root of 3330350400 is about 1493.3558581495.

Adding to 3330350400 its reverse (40530333), we get a palindrome (3370880733).

The spelling of 3330350400 in words is "three billion, three hundred thirty million, three hundred fifty thousand, four hundred".