3290104440 has 256 divisors, whose sum is σ = 12572236800. Its totient is φ = 749716992.

The previous prime is 3290104439. The next prime is 3290104459. The reversal of 3290104440 is 444010923.

3290104440 is a `hidden beast` number, since 32 + 90 + 104 + 440 = 666.

It is a super-2 number, since 2×3290104440² = 21649574452215427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4255894 + ... + 4256666.

It is an arithmetic number, because the mean of its divisors is an integer number (49110300).

Almost surely, 2^3290104440 is an apocalyptic number.

3290104440 is a gapful number since it is divisible by the number (30) 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 3290104440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286118400).

3290104440 is an abundant number, since it is smaller than the sum of its proper divisors (9282132360).

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

3290104440 is a wasteful number, since it uses less digits than its factorization.

3290104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3290104440 is about 57359.4320055560. The cubic root of 3290104440 is about 1487.3159251542.

The spelling of 3290104440 in words is "three billion, two hundred ninety million, one hundred four thousand, four hundred forty".