3407346810000 has 1125 divisors, whose sum is σ = 14384439569181. Its totient is φ = 776164032000.

The previous prime is 3407346809987. The next prime is 3407346810029. The reversal of 3407346810000 is 186437043.

The square root of 3407346810000 is 1845900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 835403312016 + 2571943497984 = 914004^2 + 1603728^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

It is a super-2 number, since 2×3407346810000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 11629169854 + ... + 11629170146.

Almost surely, 2^{3407346810000} is an apocalyptic number.

3407346810000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3407346810000 is the 1845900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407346810000

3407346810000 is an abundant number, since it is smaller than the sum of its proper divisors (10977092759181).

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

3407346810000 is an frugal number, since it uses more digits than its factorization.

3407346810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 3407346810000 by its sum of digits (36), we get a square (122664485160000 = 11075400²).

3407346810000 divided by its sum of digits (36) gives a square (94648522500 = 307650²).

The spelling of 3407346810000 in words is "three trillion, four hundred seven billion, three hundred forty-six million, eight hundred ten thousand".