3613896000 has 1008 divisors, whose sum is σ = 15836603328. Its totient is φ = 808704000.

The previous prime is 3613895993. The next prime is 3613896019. The reversal of 3613896000 is 6983163.

It is a happy number.

3613896000 is a `hidden beast` number, since 36 + 13 + 8 + 9 + 600 + 0 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 277991994 + ... + 277992006.

It is an arithmetic number, because the mean of its divisors is an integer number (15710916).

Almost surely, 2^3613896000 is an apocalyptic number.

3613896000 is a gapful number since it is divisible by the number (30) 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 3613896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7918301664).

3613896000 is an abundant number, since it is smaller than the sum of its proper divisors (12222707328).

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

3613896000 is a wasteful number, since it uses less digits than its factorization.

3613896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3613896000 is about 60115.6884681528. The cubic root of 3613896000 is about 1534.5883025526.

The spelling of 3613896000 in words is "three billion, six hundred thirteen million, eight hundred ninety-six thousand".