3833280000 has 600 divisors, whose sum is σ = 15205863816. Its totient is φ = 929280000.

The previous prime is 3833279999. The next prime is 3833280007. The reversal of 3833280000 is 823383.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3833280000 is a `hidden beast` number, since 383 + 3 + 280 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3833280007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 348479995 + ... + 348480005.

Almost surely, 2^3833280000 is an apocalyptic number.

3833280000 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 3833280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7602931908).

3833280000 is an abundant number, since it is smaller than the sum of its proper divisors (11372583816).

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

3833280000 is an frugal number, since it uses more digits than its factorization.

3833280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3833280000 is about 61913.4880296693. The cubic root of 3833280000 is about 1565.0330539756.

The spelling of 3833280000 in words is "three billion, eight hundred thirty-three million, two hundred eighty thousand".