3490320288 has 384 divisors, whose sum is σ = 12192768000. Its totient is φ = 848719872.

The previous prime is 3490320241. The next prime is 3490320313. The reversal of 3490320288 is 8820230943.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 5826613 + ... + 5827211.

It is an arithmetic number, because the mean of its divisors is an integer number (31752000).

Almost surely, 2^3490320288 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 3490320288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384000).

3490320288 is an abundant number, since it is smaller than the sum of its proper divisors (8702447712).

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

3490320288 is a wasteful number, since it uses less digits than its factorization.

3490320288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3490320288 is about 59078.9326917811. The cubic root of 3490320288 is about 1516.8935123453.

The spelling of 3490320288 in words is "three billion, four hundred ninety million, three hundred twenty thousand, two hundred eighty-eight".