3828867840 has 1152 divisors, whose sum is σ = 17660160000. Its totient is φ = 780337152.

The previous prime is 3828867839. The next prime is 3828867949. The reversal of 3828867840 is 487688283.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 201519351 + ... + 201519369.

It is an arithmetic number, because the mean of its divisors is an integer number (15330000).

Almost surely, 2^3828867840 is an apocalyptic number.

3828867840 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 3828867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830080000).

3828867840 is an abundant number, since it is smaller than the sum of its proper divisors (13831292160).

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

3828867840 is a wasteful number, since it uses less digits than its factorization.

3828867840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 3828867840 is about 61877.8461163606. The cubic root of 3828867840 is about 1564.4323649875.

The spelling of 3828867840 in words is "three billion, eight hundred twenty-eight million, eight hundred sixty-seven thousand, eight hundred forty".