3403670674040 has 192 divisors, whose sum is σ = 9889399641600. Its totient is φ = 1030370305536.

The previous prime is 3403670674037. The next prime is 3403670674043. The reversal of 3403670674040 is 404760763043.

It is a happy number.

3403670674040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3403670674037) and next prime (3403670674043).

It is a junction number, because it is equal to n+sod(n) for n = 3403670673982 and 3403670674000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3403670674043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475310 + ... + 2652029.

It is an arithmetic number, because the mean of its divisors is an integer number (51507289800).

Almost surely, 2^{3403670674040} 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 3403670674040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4944699820800).

3403670674040 is an abundant number, since it is smaller than the sum of its proper divisors (6485728967560).

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

3403670674040 is a wasteful number, since it uses less digits than its factorization.

3403670674040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127406 (or 3127389 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 44.

The spelling of 3403670674040 in words is "three trillion, four hundred three billion, six hundred seventy million, six hundred seventy-four thousand, forty".