3840985440 has 192 divisors, whose sum is σ = 14234512320. Its totient is φ = 963993600.

The previous prime is 3840985391. The next prime is 3840985453. The reversal of 3840985440 is 445890483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47290 + ... + 99590.

It is an arithmetic number, because the mean of its divisors is an integer number (74138085).

Almost surely, 2^3840985440 is an apocalyptic number.

3840985440 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 3840985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117256160).

3840985440 is an abundant number, since it is smaller than the sum of its proper divisors (10393526880).

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

3840985440 is a wasteful number, since it uses less digits than its factorization.

3840985440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52342 (or 52328 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3840985440 is about 61975.6842640725. The cubic root of 3840985440 is about 1566.0809987317.

The spelling of 3840985440 in words is "three billion, eight hundred forty million, nine hundred eighty-five thousand, four hundred forty".