3840202080 has 576 divisors, whose sum is σ = 16316209728. Its totient is φ = 808058880.

The previous prime is 3840202039. The next prime is 3840202109. The reversal of 3840202080 is 802020483.

3840202080 is a `hidden beast` number, since 384 + 0 + 202 + 0 + 80 = 666.

It is a congruent number.

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, 3500092 + ... + 3501188.

It is an arithmetic number, because the mean of its divisors is an integer number (28326753).

Almost surely, 2^3840202080 is an apocalyptic number.

3840202080 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 3840202080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158104864).

3840202080 is an abundant number, since it is smaller than the sum of its proper divisors (12476007648).

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

3840202080 is a wasteful number, since it uses less digits than its factorization.

3840202080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3840202080 is about 61969.3640438564. The cubic root of 3840202080 is about 1565.9745253070.

The spelling of 3840202080 in words is "three billion, eight hundred forty million, two hundred two thousand, eighty".