3323660400 has 90 divisors (see below), whose sum is σ = 11534037320. Its totient is φ = 886308480.

The previous prime is 3323660399. The next prime is 3323660401. The reversal of 3323660400 is 40663233.

3323660400 is a `hidden beast` number, since 33 + 23 + 6 + 604 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3323660399) and next prime (3323660401).

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-3 number, since 3×3323660400³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3323660401) 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, 458020 + ... + 465219.

Almost surely, 2^3323660400 is an apocalyptic number.

3323660400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3323660400 is an abundant number, since it is smaller than the sum of its proper divisors (8210376920).

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

3323660400 is a wasteful number, since it uses less digits than its factorization.

3323660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923263 (or 923249 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 3323660400 is about 57651.1959980016. The cubic root of 3323660400 is about 1492.3552379313.

It can be divided in two parts, 33236 and 60400, that added together give a square (93636 = 306²).

The spelling of 3323660400 in words is "three billion, three hundred twenty-three million, six hundred sixty thousand, four hundred".