3634111152 has 240 divisors, whose sum is σ = 12631889920. Its totient is φ = 951782400.

The previous prime is 3634111127. The next prime is 3634111157. The reversal of 3634111152 is 2511114363.

It is a happy number.

3634111152 is a `hidden beast` number, since 3 + 634 + 1 + 11 + 15 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (3634111157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 590652 + ... + 596772.

Almost surely, 2^3634111152 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 3634111152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6315944960).

3634111152 is an abundant number, since it is smaller than the sum of its proper divisors (8997778768).

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

3634111152 is a wasteful number, since it uses less digits than its factorization.

3634111152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6192 (or 6183 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 3634111152 is about 60283.5894087271. The cubic root of 3634111152 is about 1537.4443404796. Note that the first 3 decimals are identical.

The spelling of 3634111152 in words is "three billion, six hundred thirty-four million, one hundred eleven thousand, one hundred fifty-two".