3680729136 has 120 divisors (see below), whose sum is σ = 12046411520. Its totient is φ = 1027168128.

The previous prime is 3680729119. The next prime is 3680729147. The reversal of 3680729136 is 6319270863.

3680729136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3680729091 and 3680729100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 885 + ... + 85803.

Almost surely, 2^3680729136 is an apocalyptic number.

3680729136 is a gapful number since it is divisible by the number (36) 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 3680729136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023205760).

3680729136 is an abundant number, since it is smaller than the sum of its proper divisors (8365682384).

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

3680729136 is a wasteful number, since it uses less digits than its factorization.

3680729136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84983 (or 84974 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3680729136 is about 60669.0129802686. The cubic root of 3680729136 is about 1543.9904851445.

Adding to 3680729136 its reverse (6319270863), we get a palindrome (9999999999).

The spelling of 3680729136 in words is "three billion, six hundred eighty million, seven hundred twenty-nine thousand, one hundred thirty-six".