3384994833 has 32 divisors (see below), whose sum is σ = 5474304000. Its totient is φ = 2050160400.

The previous prime is 3384994817. The next prime is 3384994841.

3384994833 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3384994833 - 2⁴ = 3384994817 is a prime.

It is a super-2 number, since 2×3384994833² = 22916380038873395778, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3384994833.

It is not an unprimeable number, because it can be changed into a prime (3384992833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 624268 + ... + 629666.

It is an arithmetic number, because the mean of its divisors is an integer number (171072000).

Almost surely, 2^3384994833 is an apocalyptic number.

3384994833 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3384994833 is a deficient number, since it is larger than the sum of its proper divisors (2089309167).

3384994833 is a wasteful number, since it uses less digits than its factorization.

3384994833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7530 (or 7524 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 3384994833 is about 58180.7084264191. The cubic root of 3384994833 is about 1501.4792567202.

The spelling of 3384994833 in words is "three billion, three hundred eighty-four million, nine hundred ninety-four thousand, eight hundred thirty-three".