3426506647200 has 1728 divisors, whose sum is σ = 15572060824320. Its totient is φ = 715919523840.

The previous prime is 3426506647139. The next prime is 3426506647271. The reversal of 3426506647200 is 27466056243.

3426506647200 is a `hidden beast` number, since 342 + 6 + 5 + 0 + 66 + 47 + 200 = 666.

3426506647200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1928252712 + ... + 1928254488.

Almost surely, 2^{3426506647200} is an apocalyptic number.

3426506647200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3426506647200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7786030412160).

3426506647200 is an abundant number, since it is smaller than the sum of its proper divisors (12145554177120).

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

3426506647200 is a wasteful number, since it uses less digits than its factorization.

3426506647200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 3426506647200 in words is "three trillion, four hundred twenty-six billion, five hundred six million, six hundred forty-seven thousand, two hundred".