3325310400 has 168 divisors, whose sum is σ = 11164198144. Its totient is φ = 866073600.

The previous prime is 3325310341. The next prime is 3325310459. The reversal of 3325310400 is 40135233.

It is an interprime number because it is at equal distance from previous prime (3325310341) and next prime (3325310459).

It is a super-2 number, since 2×3325310400² = 22115378512696320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198345 + ... + 214455.

Almost surely, 2^3325310400 is an apocalyptic number.

3325310400 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 3325310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582099072).

3325310400 is an abundant number, since it is smaller than the sum of its proper divisors (7838887744).

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

3325310400 is a wasteful number, since it uses less digits than its factorization.

3325310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16179 (or 16164 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 3325310400 is about 57665.5044198869. The cubic root of 3325310400 is about 1492.6021523251.

Adding to 3325310400 its reverse (40135233), we get a palindrome (3365445633).

The spelling of 3325310400 in words is "three billion, three hundred twenty-five million, three hundred ten thousand, four hundred".