3427012800 has 420 divisors, whose sum is σ = 13018430656. Its totient is φ = 883353600.

The previous prime is 3427012783. The next prime is 3427012801. The reversal of 3427012800 is 82107243.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3427012801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4017174 + ... + 4018026.

Almost surely, 2^3427012800 is an apocalyptic number.

3427012800 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 3427012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509215328).

3427012800 is an abundant number, since it is smaller than the sum of its proper divisors (9591417856).

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

3427012800 is a wasteful number, since it uses less digits than its factorization.

3427012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3427012800 is about 58540.6935387684. The cubic root of 3427012800 is about 1507.6663512869. Note that the first 3 decimals are identical.

The spelling of 3427012800 in words is "three billion, four hundred twenty-seven million, twelve thousand, eight hundred".