3290434056 has 384 divisors, whose sum is σ = 11524608000. Its totient is φ = 851565312.

The previous prime is 3290434051. The next prime is 3290434057. The reversal of 3290434056 is 6504340923.

It is a super-2 number, since 2×3290434056² = 21653912553769222272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3290434056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3290434051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20186631 + ... + 20186793.

It is an arithmetic number, because the mean of its divisors is an integer number (30012000).

Almost surely, 2^3290434056 is an apocalyptic number.

3290434056 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 3290434056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762304000).

3290434056 is an abundant number, since it is smaller than the sum of its proper divisors (8234173944).

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

3290434056 is a wasteful number, since it uses less digits than its factorization.

3290434056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3290434056 is about 57362.3051838052. The cubic root of 3290434056 is about 1487.3655919418.

Adding to 3290434056 its reverse (6504340923), we get a palindrome (9794774979).

The spelling of 3290434056 in words is "three billion, two hundred ninety million, four hundred thirty-four thousand, fifty-six".