3726341136 has 240 divisors, whose sum is σ = 12572361984. Its totient is φ = 1007271936.

The previous prime is 3726341117. The next prime is 3726341147. The reversal of 3726341136 is 6311436273.

3726341136 is a `hidden beast` number, since 3 + 7 + 2 + 634 + 1 + 13 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3726341136.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2248020 + ... + 2249676.

Almost surely, 2^3726341136 is an apocalyptic number.

3726341136 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 3726341136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286180992).

3726341136 is an abundant number, since it is smaller than the sum of its proper divisors (8846020848).

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

3726341136 is a wasteful number, since it uses less digits than its factorization.

3726341136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1789 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3726341136 is about 61043.7641041245. The cubic root of 3726341136 is about 1550.3420869651.

The spelling of 3726341136 in words is "three billion, seven hundred twenty-six million, three hundred forty-one thousand, one hundred thirty-six".