3801842000 has 320 divisors, whose sum is σ = 10654675200. Its totient is φ = 1299200000.

The previous prime is 3801841991. The next prime is 3801842021. The reversal of 3801842000 is 2481083.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 37641950 + ... + 37642050.

It is an arithmetic number, because the mean of its divisors is an integer number (33295860).

Almost surely, 2^3801842000 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 3801842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5327337600).

3801842000 is an abundant number, since it is smaller than the sum of its proper divisors (6852833200).

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

3801842000 is a wasteful number, since it uses less digits than its factorization.

3801842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 3801842000 is about 61659.0788124506. The cubic root of 3801842000 is about 1560.7428524308.

The spelling of 3801842000 in words is "three billion, eight hundred one million, eight hundred forty-two thousand".