3169290240 has 240 divisors, whose sum is σ = 11362691340. Its totient is φ = 844922880.

The previous prime is 3169290233. The next prime is 3169290287. The reversal of 3169290240 is 420929613.

It can be written as a sum of positive squares in 2 ways, for example, as 3089581056 + 79709184 = 55584^2 + 8928^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 3169290195 and 3169290204.

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 19 ways as a sum of consecutive naturals, for example, 827530 + ... + 831350.

Almost surely, 2^3169290240 is an apocalyptic number.

3169290240 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 3169290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5681345670).

3169290240 is an abundant number, since it is smaller than the sum of its proper divisors (8193401100).

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

3169290240 is an equidigital number, since it uses as much as digits as its factorization.

3169290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3860 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3169290240 is about 56296.4496216236. The cubic root of 3169290240 is about 1468.8834503400.

The spelling of 3169290240 in words is "three billion, one hundred sixty-nine million, two hundred ninety thousand, two hundred forty".