3809280000 has 340 divisors, whose sum is σ = 13102905728. Its totient is φ = 983040000.

The previous prime is 3809279983. The next prime is 3809280019. The reversal of 3809280000 is 829083.

It is a super-2 number, since 2×3809280000² = 29021228236800000000, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3809280000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 122879985 + ... + 122880015.

Almost surely, 2^3809280000 is an apocalyptic number.

3809280000 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 3809280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6551452864).

3809280000 is an abundant number, since it is smaller than the sum of its proper divisors (9293625728).

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

3809280000 is an frugal number, since it uses more digits than its factorization.

3809280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 3809280000 is about 61719.3648703549. The cubic root of 3809280000 is about 1561.7600122696.

The spelling of 3809280000 in words is "three billion, eight hundred nine million, two hundred eighty thousand".