3400733704033 has 16 divisors (see below), whose sum is σ = 3493654338240. Its totient is φ = 3309068088000.

The previous prime is 3400733703979. The next prime is 3400733704141. The reversal of 3400733704033 is 3304073370043.

It is a cyclic number.

It is not a de Polignac number, because 3400733704033 - 2³⁷ = 3263294750561 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3400733703983 and 3400733704001.

It is not an unprimeable number, because it can be changed into a prime (3400733704633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7080598 + ... + 7545616.

It is an arithmetic number, because the mean of its divisors is an integer number (218353396140).

Almost surely, 2^{3400733704033} is an apocalyptic number.

It is an amenable number.

3400733704033 is a deficient number, since it is larger than the sum of its proper divisors (92920634207).

3400733704033 is a wasteful number, since it uses less digits than its factorization.

3400733704033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466368.

The product of its (nonzero) digits is 190512, while the sum is 37.

The spelling of 3400733704033 in words is "three trillion, four hundred billion, seven hundred thirty-three million, seven hundred four thousand, thirty-three".