3384408042 has 64 divisors (see below), whose sum is σ = 8072559360. Its totient is φ = 1047209472.

The previous prime is 3384407987. The next prime is 3384408077. The reversal of 3384408042 is 2408044833.

It is a super-2 number, since 2×3384408042² = 22908435589508547528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3384407988 and 3384408006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41763 + ... + 92265.

It is an arithmetic number, because the mean of its divisors is an integer number (126133740).

Almost surely, 2^3384408042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3384408042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036279680).

3384408042 is an abundant number, since it is smaller than the sum of its proper divisors (4688151318).

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

3384408042 is a wasteful number, since it uses less digits than its factorization.

3384408042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50604 (or 50598 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3384408042 is about 58175.6653765129. The cubic root of 3384408042 is about 1501.3924909127.

The spelling of 3384408042 in words is "three billion, three hundred eighty-four million, four hundred eight thousand, forty-two".