3645261888 has 56 divisors (see below), whose sum is σ = 9684898080. Its totient is φ = 1210030080.

The previous prime is 3645261877. The next prime is 3645261899. The reversal of 3645261888 is 8881625463.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3645261877) and next prime (3645261899).

It is a self number, because there is not a number n which added to its sum of digits gives 3645261888.

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 7 ways as a sum of consecutive naturals, for example, 6883 + ... + 85661.

Almost surely, 2^3645261888 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 3645261888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842449040).

3645261888 is an abundant number, since it is smaller than the sum of its proper divisors (6039636192).

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

3645261888 is a wasteful number, since it uses less digits than its factorization.

3645261888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79035 (or 79025 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The square root of 3645261888 is about 60376.0042400953. The cubic root of 3645261888 is about 1539.0152089190.

The spelling of 3645261888 in words is "three billion, six hundred forty-five million, two hundred sixty-one thousand, eight hundred eighty-eight".