3441286560 has 192 divisors, whose sum is σ = 11182292352. Its totient is φ = 889061376.

The previous prime is 3441286543. The next prime is 3441286577. The reversal of 3441286560 is 656821443.

It is an interprime number because it is at equal distance from previous prime (3441286543) and next prime (3441286577).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2827072 + ... + 2828288.

It is an arithmetic number, because the mean of its divisors is an integer number (58241106).

Almost surely, 2^3441286560 is an apocalyptic number.

3441286560 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 3441286560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591146176).

3441286560 is an abundant number, since it is smaller than the sum of its proper divisors (7741005792).

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

3441286560 is a wasteful number, since it uses less digits than its factorization.

3441286560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 3441286560 is about 58662.4800021274. The cubic root of 3441286560 is about 1509.7566322694.

The spelling of 3441286560 in words is "three billion, four hundred forty-one million, two hundred eighty-six thousand, five hundred sixty".