3424017777408 has 216 divisors, whose sum is σ = 10286011846656. Its totient is φ = 1094196787200.

The previous prime is 3424017777359. The next prime is 3424017777409. The reversal of 3424017777408 is 8047777104243.

3424017777408 is a `hidden beast` number, since 3 + 424 + 0 + 177 + 7 + 7 + 40 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3424017777409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7418353 + ... + 7866383.

It is an arithmetic number, because the mean of its divisors is an integer number (47620425216).

Almost surely, 2^{3424017777408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424017777408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143005923328).

3424017777408 is an abundant number, since it is smaller than the sum of its proper divisors (6861994069248).

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

3424017777408 is a wasteful number, since it uses less digits than its factorization.

3424017777408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448191 (or 448174 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 54.

The spelling of 3424017777408 in words is "three trillion, four hundred twenty-four billion, seventeen million, seven hundred seventy-seven thousand, four hundred eight".