3215766400 has 384 divisors, whose sum is σ = 10247915520. Its totient is φ = 967680000.

The previous prime is 3215766383. The next prime is 3215766401. The reversal of 3215766400 is 46675123.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3215766401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7638190 + ... + 7638610.

It is an arithmetic number, because the mean of its divisors is an integer number (26687280).

Almost surely, 2^3215766400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3215766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123957760).

3215766400 is an abundant number, since it is smaller than the sum of its proper divisors (7032149120).

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

3215766400 is a wasteful number, since it uses less digits than its factorization.

3215766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 3215766400 is about 56707.7278684308. The cubic root of 3215766400 is about 1476.0287986782.

The spelling of 3215766400 in words is "three billion, two hundred fifteen million, seven hundred sixty-six thousand, four hundred".