3420687283200 has 1848 divisors, whose sum is σ = 14615223330720. Its totient is φ = 784716595200.

The previous prime is 3420687283157. The next prime is 3420687283229. The reversal of 3420687283200 is 23827860243.

3420687283200 is a `hidden beast` number, since 3 + 420 + 68 + 72 + 83 + 20 + 0 = 666.

It is a super-2 number, since 2×3420687283200² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3900441162 + ... + 3900442038.

Almost surely, 2^{3420687283200} is an apocalyptic number.

3420687283200 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 3420687283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7307611665360).

3420687283200 is an abundant number, since it is smaller than the sum of its proper divisors (11194536047520).

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

3420687283200 is a wasteful number, since it uses less digits than its factorization.

3420687283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 3420687283200 in words is "three trillion, four hundred twenty billion, six hundred eighty-seven million, two hundred eighty-three thousand, two hundred".