3428242944 has 160 divisors (see below), whose sum is σ = 10610916096. Its totient is φ = 963256320.

The previous prime is 3428242931. The next prime is 3428242949. The reversal of 3428242944 is 4492428243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3428242896 and 3428242905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428242949) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 653259 + ... + 658485.

Almost surely, 2^3428242944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305458048).

3428242944 is an abundant number, since it is smaller than the sum of its proper divisors (7182673152).

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

3428242944 is an equidigital number, since it uses as much as digits as its factorization.

3428242944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316 (or 5300 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 3428242944 is about 58551.1993386984. The cubic root of 3428242944 is about 1507.8467245894.

The spelling of 3428242944 in words is "three billion, four hundred twenty-eight million, two hundred forty-two thousand, nine hundred forty-four".