3613522752 has 336 divisors, whose sum is σ = 12929047040. Its totient is φ = 977536512.

The previous prime is 3613522751. The next prime is 3613522763. The reversal of 3613522752 is 2572253163.

3613522752 is a `hidden beast` number, since 3 + 61 + 3 + 522 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (75600) is a multiple of the sum of its prime factors (1800).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3613522751) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2067543 + ... + 2069289.

Almost surely, 2^3613522752 is an apocalyptic number.

3613522752 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 3613522752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6464523520).

3613522752 is an abundant number, since it is smaller than the sum of its proper divisors (9315524288).

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

3613522752 is a wasteful number, since it uses less digits than its factorization.

3613522752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1778 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 3613522752 is about 60112.5839737405. The cubic root of 3613522752 is about 1534.5354692913.

The spelling of 3613522752 in words is "three billion, six hundred thirteen million, five hundred twenty-two thousand, seven hundred fifty-two".