3365260272 has 240 divisors, whose sum is σ = 10880303616. Its totient is φ = 960960000.

The previous prime is 3365260247. The next prime is 3365260277. The reversal of 3365260272 is 2720625633.

It is a happy number.

3365260272 is a `hidden beast` number, since 3 + 365 + 26 + 0 + 272 = 666.

3365260272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3365260272² = 22649953396603027968, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3365260277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2586022 + ... + 2587322.

Almost surely, 2^3365260272 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 3365260272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5440151808).

3365260272 is an abundant number, since it is smaller than the sum of its proper divisors (7515043344).

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

3365260272 is a wasteful number, since it uses less digits than its factorization.

3365260272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3365260272 is about 58010.8633964364. The cubic root of 3365260272 is about 1498.5556870865. Note that the first 3 decimals are identical.

The spelling of 3365260272 in words is "three billion, three hundred sixty-five million, two hundred sixty thousand, two hundred seventy-two".