3441820000 has 240 divisors, whose sum is σ = 9182460672. Its totient is φ = 1264640000.

The previous prime is 3441819977. The next prime is 3441820001. The reversal of 3441820000 is 281443.

It is a super-2 number, since 2×3441820000² = 23692249824800000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441820001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 18019905 + ... + 18020095.

Almost surely, 2^3441820000 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 3441820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591230336).

3441820000 is an abundant number, since it is smaller than the sum of its proper divisors (5740640672).

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

3441820000 is a wasteful number, since it uses less digits than its factorization.

3441820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 3441820000 is about 58667.0265140479. The cubic root of 3441820000 is about 1509.8346382664.

The spelling of 3441820000 in words is "three billion, four hundred forty-one million, eight hundred twenty thousand".