3653533632 has 112 divisors (see below), whose sum is σ = 11104473600. Its totient is φ = 1038492672.

The previous prime is 3653533621. The next prime is 3653533643. The reversal of 3653533632 is 2363353563.

It is an interprime number because it is at equal distance from previous prime (3653533621) and next prime (3653533643).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3653533632² = 26696616000310222848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257869 + ... + 271667.

Almost surely, 2^3653533632 is an apocalyptic number.

3653533632 is a gapful number since it is divisible by the number (32) 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 3653533632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552236800).

3653533632 is an abundant number, since it is smaller than the sum of its proper divisors (7450939968).

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

3653533632 is a wasteful number, since it uses less digits than its factorization.

3653533632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14018 (or 14008 counting only the distinct ones).

The product of its digits is 437400, while the sum is 39.

The square root of 3653533632 is about 60444.4673398649. The cubic root of 3653533632 is about 1540.1784287553.

The spelling of 3653533632 in words is "three billion, six hundred fifty-three million, five hundred thirty-three thousand, six hundred thirty-two".