3265612416 has 512 divisors, whose sum is σ = 11562393600. Its totient is φ = 895795200.

The previous prime is 3265612397. The next prime is 3265612421. The reversal of 3265612416 is 6142165623.

3265612416 is a `hidden beast` number, since 3 + 26 + 5 + 612 + 4 + 16 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20034351 + ... + 20034513.

It is an arithmetic number, because the mean of its divisors is an integer number (22582800).

Almost surely, 2^3265612416 is an apocalyptic number.

3265612416 is a gapful number since it is divisible by the number (36) 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 3265612416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781196800).

3265612416 is an abundant number, since it is smaller than the sum of its proper divisors (8296781184).

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

3265612416 is a wasteful number, since it uses less digits than its factorization.

3265612416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

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

The square root of 3265612416 is about 57145.5371485823. The cubic root of 3265612416 is about 1483.6161294032.

The spelling of 3265612416 in words is "three billion, two hundred sixty-five million, six hundred twelve thousand, four hundred sixteen".