3442279680 has 1008 divisors, whose sum is σ = 15442043904. Its totient is φ = 716636160.

The previous prime is 3442279679. The next prime is 3442279691. The reversal of 3442279680 is 869722443.

3442279680 is a `hidden beast` number, since 344 + 227 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 111041265 + ... + 111041295.

It is an arithmetic number, because the mean of its divisors is an integer number (15319488).

Almost surely, 2^3442279680 is an apocalyptic number.

3442279680 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 3442279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721021952).

3442279680 is an abundant number, since it is smaller than the sum of its proper divisors (11999764224).

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

3442279680 is an equidigital number, since it uses as much as digits as its factorization.

3442279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3442279680 is about 58670.9440864897. The cubic root of 3442279680 is about 1509.9018517263.

The spelling of 3442279680 in words is "three billion, four hundred forty-two million, two hundred seventy-nine thousand, six hundred eighty".