3290072736 has 72 divisors (see below), whose sum is σ = 8944737984. Its totient is φ = 1058848000.

The previous prime is 3290072719. The next prime is 3290072761. The reversal of 3290072736 is 6372700923.

It is a junction number, because it is equal to n+sod(n) for n = 3290072694 and 3290072703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60361 + ... + 101111.

It is an arithmetic number, because the mean of its divisors is an integer number (124232472).

Almost surely, 2^3290072736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3290072736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472368992).

3290072736 is an abundant number, since it is smaller than the sum of its proper divisors (5654665248).

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

3290072736 is a wasteful number, since it uses less digits than its factorization.

3290072736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40822 (or 40785 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The square root of 3290072736 is about 57359.1556423210. The cubic root of 3290072736 is about 1487.3111477967.

The spelling of 3290072736 in words is "three billion, two hundred ninety million, seventy-two thousand, seven hundred thirty-six".