3305265408 has 108 divisors (see below), whose sum is σ = 9567115740. Its totient is φ = 1097453568.

The previous prime is 3305265407. The next prime is 3305265413. The reversal of 3305265408 is 8045625033.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1988446464 + 1316818944 = 44592^2 + 36288^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3305265407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617110 + ... + 622442.

It is an arithmetic number, because the mean of its divisors is an integer number (88584405).

Almost surely, 2^3305265408 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 3305265408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4783557870).

3305265408 is an abundant number, since it is smaller than the sum of its proper divisors (6261850332).

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

3305265408 is a wasteful number, since it uses less digits than its factorization.

3305265408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624 (or 5607 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3305265408 is about 57491.4376929295. The cubic root of 3305265408 is about 1489.5969674008.

The spelling of 3305265408 in words is "three billion, three hundred five million, two hundred sixty-five thousand, four hundred eight".