3441962160 has 600 divisors, whose sum is σ = 14826952800. Its totient is φ = 724598784.

The previous prime is 3441962159. The next prime is 3441962203. The reversal of 3441962160 is 612691443.

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

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 119 ways as a sum of consecutive naturals, for example, 7665616 + ... + 7666064.

It is an arithmetic number, because the mean of its divisors is an integer number (24711588).

Almost surely, 2^3441962160 is an apocalyptic number.

3441962160 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 3441962160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7413476400).

3441962160 is an abundant number, since it is smaller than the sum of its proper divisors (11384990640).

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

3441962160 is a wasteful number, since it uses less digits than its factorization.

3441962160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3441962160 is about 58668.2380850150. The cubic root of 3441962160 is about 1509.8554252471.

The spelling of 3441962160 in words is "three billion, four hundred forty-one million, nine hundred sixty-two thousand, one hundred sixty".