3265612416000 has 2816 divisors, whose sum is σ = 14479381463040. Its totient is φ = 716636160000.

The previous prime is 3265612415971. The next prime is 3265612416037. The reversal of 3265612416000 is 6142165623.

3265612416000 is a `hidden beast` number, since 3 + 2 + 6 + 5 + 6 + 1 + 2 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20034431919 + ... + 20034432081.

Almost surely, 2^{3265612416000} is an apocalyptic number.

3265612416000 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 3265612416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239690731520).

3265612416000 is an abundant number, since it is smaller than the sum of its proper divisors (11213769047040).

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

3265612416000 is a wasteful number, since it uses less digits than its factorization.

3265612416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3265612416000 in words is "three trillion, two hundred sixty-five billion, six hundred twelve million, four hundred sixteen thousand".