3365972288 has 84 divisors (see below), whose sum is σ = 7980128820. Its totient is φ = 1403523072.

The previous prime is 3365972287. The next prime is 3365972293. The reversal of 3365972288 is 8822795633.

It is a Cunningham number, because it is equal to 58017²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 1731225664 + 1634746624 = 41608^2 + 40432^2 .

It is a super-2 number, since 2×3365972288² = 22659538887167909888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3365972287) 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, 101528 + ... + 130536.

Almost surely, 2^3365972288 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 3365972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990064410).

3365972288 is an abundant number, since it is smaller than the sum of its proper divisors (4614156532).

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

3365972288 is a wasteful number, since it uses less digits than its factorization.

3365972288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29072 (or 29055 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 53.

The square root of 3365972288 is about 58016.9999913818. Note that the first 5 decimals coincide. The cubic root of 3365972288 is about 1498.6613669149.

The spelling of 3365972288 in words is "three billion, three hundred sixty-five million, nine hundred seventy-two thousand, two hundred eighty-eight".