3401806646304 has 192 divisors, whose sum is σ = 11460632561280. Its totient is φ = 970212188160.

The previous prime is 3401806646291. The next prime is 3401806646317. The reversal of 3401806646304 is 4036466081043.

It is a happy number.

3401806646304 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 8 + 0 + 6 + 6 + 4 + 630 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3401806646291) and next prime (3401806646317).

It is a self number, because there is not a number n which added to its sum of digits gives 3401806646304.

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, 10365909 + ... + 10689044.

It is an arithmetic number, because the mean of its divisors is an integer number (59690794590).

Almost surely, 2^{3401806646304} is an apocalyptic number.

3401806646304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3401806646304 is an abundant number, since it is smaller than the sum of its proper divisors (8058825914976).

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

3401806646304 is a wasteful number, since it uses less digits than its factorization.

3401806646304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21055000 (or 21054986 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 3401806646304 in words is "three trillion, four hundred one billion, eight hundred six million, six hundred forty-six thousand, three hundred four".