3840300480 has 112 divisors (see below), whose sum is σ = 12301203744. Its totient is φ = 1014988800.

The previous prime is 3840300449. The next prime is 3840300481. The reversal of 3840300480 is 840030483.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840300481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90780 + ... + 126180.

Almost surely, 2^3840300480 is an apocalyptic number.

3840300480 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 3840300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150601872).

3840300480 is an abundant number, since it is smaller than the sum of its proper divisors (8460903264).

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

3840300480 is a wasteful number, since it uses less digits than its factorization.

3840300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35534 (or 35524 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3840300480 is about 61970.1579794662. The cubic root of 3840300480 is about 1565.9879005213.

The spelling of 3840300480 in words is "three billion, eight hundred forty million, three hundred thousand, four hundred eighty".