3696000000 has 616 divisors, whose sum is σ = 15352303488. Its totient is φ = 768000000.

The previous prime is 3695999977. The next prime is 3696000031. The reversal of 3696000000 is 6963.

It is a tau number, because it is divible by the number of its divisors (616).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 335999995 + ... + 336000005.

Almost surely, 2^3696000000 is an apocalyptic number.

3696000000 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 3696000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7676151744).

3696000000 is an abundant number, since it is smaller than the sum of its proper divisors (11656303488).

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

3696000000 is an frugal number, since it uses more digits than its factorization.

3696000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 3696000000 is about 60794.7366142827. The cubic root of 3696000000 is about 1546.1228105032.

Adding to 3696000000 its reverse (6963), we get a palindrome (3696006963).

The spelling of 3696000000 in words is "three billion, six hundred ninety-six million", and thus it is an aban number.