3084933000 has 256 divisors, whose sum is σ = 10142496000. Its totient is φ = 779520000.

The previous prime is 3084932959. The next prime is 3084933023. The reversal of 3084933000 is 3394803.

It is a happy number.

3084933000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3084933000² = 19033623228978000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5132700 + ... + 5133300.

It is an arithmetic number, because the mean of its divisors is an integer number (39619125).

Almost surely, 2^3084933000 is an apocalyptic number.

3084933000 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 3084933000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071248000).

3084933000 is an abundant number, since it is smaller than the sum of its proper divisors (7057563000).

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

3084933000 is a wasteful number, since it uses less digits than its factorization.

3084933000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3084933000 is about 55542.1731659826. The cubic root of 3084933000 is about 1455.7336199572.

The spelling of 3084933000 in words is "three billion, eighty-four million, nine hundred thirty-three thousand".