3840099840 has 240 divisors, whose sum is σ = 13794148368. Its totient is φ = 1023860736.

The previous prime is 3840099839. The next prime is 3840099919. The reversal of 3840099840 is 489900483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 618994 + ... + 625166.

Almost surely, 2^3840099840 is an apocalyptic number.

3840099840 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 3840099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6897074184).

3840099840 is an abundant number, since it is smaller than the sum of its proper divisors (9954048528).

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

3840099840 is an frugal number, since it uses more digits than its factorization.

3840099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6211 (or 6183 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3840099840 is about 61968.5391146185. The cubic root of 3840099840 is about 1565.9606278911.

The spelling of 3840099840 in words is "three billion, eight hundred forty million, ninety-nine thousand, eight hundred forty".