3616653952 has 192 divisors, whose sum is σ = 8226308160. Its totient is φ = 1579438080.

The previous prime is 3616653941. The next prime is 3616653959. The reversal of 3616653952 is 2593566163.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (3616653959) 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 23 ways as a sum of consecutive naturals, for example, 43574103 + ... + 43574185.

It is an arithmetic number, because the mean of its divisors is an integer number (42845355).

Almost surely, 2^3616653952 is an apocalyptic number.

3616653952 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 3616653952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113154080).

3616653952 is an abundant number, since it is smaller than the sum of its proper divisors (4609654208).

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

3616653952 is a wasteful number, since it uses less digits than its factorization.

3616653952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 168 counting only the distinct ones).

The product of its digits is 874800, while the sum is 46.

The square root of 3616653952 is about 60138.6227976664. The cubic root of 3616653952 is about 1534.9785780060.

The spelling of 3616653952 in words is "three billion, six hundred sixteen million, six hundred fifty-three thousand, nine hundred fifty-two".