3331269440 has 56 divisors (see below), whose sum is σ = 8206145640. Its totient is φ = 1286555648.

The previous prime is 3331269427. The next prime is 3331269463. The reversal of 3331269440 is 449621333.

It can be written as a sum of positive squares in 4 ways, for example, as 1267929664 + 2063339776 = 35608^2 + 45424^2 .

It is a super-2 number, since 2×3331269440² = 22194712163755827200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3331269440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170207 + ... + 188766.

It is an arithmetic number, because the mean of its divisors is an integer number (146538315).

Almost surely, 2^3331269440 is an apocalyptic number.

It is an amenable number.

3331269440 is an abundant number, since it is smaller than the sum of its proper divisors (4874876200).

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

3331269440 is a wasteful number, since it uses less digits than its factorization.

3331269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359019 (or 359009 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The square root of 3331269440 is about 57717.1503108045. The cubic root of 3331269440 is about 1493.4932138203.

The spelling of 3331269440 in words is "three billion, three hundred thirty-one million, two hundred sixty-nine thousand, four hundred forty".