3696300000000 has 972 divisors, whose sum is σ = 14042512341480. Its totient is φ = 959040000000.

The previous prime is 3696299999993. The next prime is 3696300000007. The reversal of 3696300000000 is 36963.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (3696299999993) and next prime (3696300000007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3696300000000.

It is not an unprimeable number, because it can be changed into a prime (3696300000007) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 99899999982 + ... + 99900000018.

Almost surely, 2^{3696300000000} is an apocalyptic number.

3696300000000 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 3696300000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021256170740).

3696300000000 is an abundant number, since it is smaller than the sum of its proper divisors (10346212341480).

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

3696300000000 is an frugal number, since it uses more digits than its factorization.

3696300000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Multiplying 3696300000000 by its sum of digits (27), we get a square (99800100000000 = 9990000²).

3696300000000 divided by its sum of digits (27) gives a square (136900000000 = 370000²).

Adding to 3696300000000 its reverse (36963), we get a palindrome (3696300036963).

3696300000000 divided by its reverse (36963) gives a 8-th power (100000000 = 10⁸).

The spelling of 3696300000000 in words is "three trillion, six hundred ninety-six billion, three hundred million", and thus it is an aban number.