3809922480 has 900 divisors, whose sum is σ = 16902726192. Its totient is φ = 792529920.

The previous prime is 3809922443. The next prime is 3809922491. The reversal of 3809922480 is 842299083.

3809922480 is a `hidden beast` number, since 3 + 80 + 9 + 92 + 2 + 480 = 666.

3809922480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 53660845 + ... + 53660915.

Almost surely, 2^3809922480 is an apocalyptic number.

3809922480 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 3809922480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8451363096).

3809922480 is an abundant number, since it is smaller than the sum of its proper divisors (13092803712).

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

3809922480 is a wasteful number, since it uses less digits than its factorization.

3809922480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

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

The square root of 3809922480 is about 61724.5695003213. The cubic root of 3809922480 is about 1561.8478104157.

The spelling of 3809922480 in words is "three billion, eight hundred nine million, nine hundred twenty-two thousand, four hundred eighty".