3841875840 has 384 divisors, whose sum is σ = 14065228800. Its totient is φ = 889630720.

The previous prime is 3841875823. The next prime is 3841875887. The reversal of 3841875840 is 485781483.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3841875840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5343001 + ... + 5343719.

It is an arithmetic number, because the mean of its divisors is an integer number (36628200).

Almost surely, 2^3841875840 is an apocalyptic number.

3841875840 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 3841875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032614400).

3841875840 is an abundant number, since it is smaller than the sum of its proper divisors (10223352960).

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

3841875840 is a wasteful number, since it uses less digits than its factorization.

3841875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 3841875840 is about 61982.8673102495. The cubic root of 3841875840 is about 1566.2020033372.

The spelling of 3841875840 in words is "three billion, eight hundred forty-one million, eight hundred seventy-five thousand, eight hundred forty".