3840110820 has 288 divisors, whose sum is σ = 14961203712. Its totient is φ = 774918144.

The previous prime is 3840110819. The next prime is 3840110831. The reversal of 3840110820 is 280110483.

3840110820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3840110820² = 29492902219762144800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 371644 + ... + 381836.

It is an arithmetic number, because the mean of its divisors is an integer number (51948624).

Almost surely, 2^3840110820 is an apocalyptic number.

3840110820 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 3840110820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480601856).

3840110820 is an abundant number, since it is smaller than the sum of its proper divisors (11121092892).

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

3840110820 is a wasteful number, since it uses less digits than its factorization.

3840110820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10251 (or 10246 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 3840110820 is about 61968.6277078975. The cubic root of 3840110820 is about 1565.9621204071.

The spelling of 3840110820 in words is "three billion, eight hundred forty million, one hundred ten thousand, eight hundred twenty".