3326096400 has 180 divisors, whose sum is σ = 11711760816. Its totient is φ = 806291200.

The previous prime is 3326096399. The next prime is 3326096407. The reversal of 3326096400 is 46906233.

It is a super-2 number, since 2×3326096400² = 22125834524185920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3326096407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133747 + ... + 156653.

Almost surely, 2^3326096400 is an apocalyptic number.

3326096400 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 3326096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855880408).

3326096400 is an abundant number, since it is smaller than the sum of its proper divisors (8385664416).

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

3326096400 is a wasteful number, since it uses less digits than its factorization.

3326096400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22950 (or 22928 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 3326096400 is about 57672.3191834696. The cubic root of 3326096400 is about 1492.7197446426.

The spelling of 3326096400 in words is "three billion, three hundred twenty-six million, ninety-six thousand, four hundred".