3441242000 has 320 divisors, whose sum is σ = 10612892160. Its totient is φ = 1050624000.

The previous prime is 3441241967. The next prime is 3441242009. The reversal of 3441242000 is 2421443.

3441242000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3441242009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4521620 + ... + 4522380.

It is an arithmetic number, because the mean of its divisors is an integer number (33165288).

Almost surely, 2^3441242000 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 3441242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306446080).

3441242000 is an abundant number, since it is smaller than the sum of its proper divisors (7171650160).

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

3441242000 is a wasteful number, since it uses less digits than its factorization.

3441242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3441242000 is about 58662.1002010668. The cubic root of 3441242000 is about 1509.7501158067.

Adding to 3441242000 its reverse (2421443), we get a palindrome (3443663443).

The spelling of 3441242000 in words is "three billion, four hundred forty-one million, two hundred forty-two thousand".