3243779136 has 280 divisors, whose sum is σ = 10464312320. Its totient is φ = 987614208.

The previous prime is 3243779117. The next prime is 3243779141. The reversal of 3243779136 is 6319773423.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3243779091 and 3243779100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8558595 + ... + 8558973.

It is an arithmetic number, because the mean of its divisors is an integer number (37372544).

Almost surely, 2^3243779136 is an apocalyptic number.

3243779136 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 3243779136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232156160).

3243779136 is an abundant number, since it is smaller than the sum of its proper divisors (7220533184).

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

3243779136 is a wasteful number, since it uses less digits than its factorization.

3243779136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 524 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 3243779136 is about 56954.1845345889. The cubic root of 3243779136 is about 1480.3023390122.

It can be divided in two parts, 324 and 3779136, that multiplied together give a square (1224440064 = 34992²).

The spelling of 3243779136 in words is "three billion, two hundred forty-three million, seven hundred seventy-nine thousand, one hundred thirty-six".