3261946615200 has 1728 divisors, whose sum is σ = 15327601470720. Its totient is φ = 651870167040.

The previous prime is 3261946615177. The next prime is 3261946615229. The reversal of 3261946615200 is 25166491623.

3261946615200 is a `hidden beast` number, since 3 + 2 + 6 + 1 + 9 + 4 + 6 + 615 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 709579302 + ... + 709583898.

It is an arithmetic number, because the mean of its divisors is an integer number (8870139740).

Almost surely, 2^{3261946615200} is an apocalyptic number.

3261946615200 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 3261946615200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663800735360).

3261946615200 is an abundant number, since it is smaller than the sum of its proper divisors (12065654855520).

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

3261946615200 is a wasteful number, since it uses less digits than its factorization.

3261946615200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4684 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 3261946615200 in words is "three trillion, two hundred sixty-one billion, nine hundred forty-six million, six hundred fifteen thousand, two hundred".