3421060800 has 336 divisors, whose sum is σ = 11767913472. Its totient is φ = 869068800.

The previous prime is 3421060759. The next prime is 3421060813. The reversal of 3421060800 is 80601243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 12350262 + ... + 12350538.

It is an arithmetic number, because the mean of its divisors is an integer number (35023552).

Almost surely, 2^3421060800 is an apocalyptic number.

3421060800 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 3421060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5883956736).

3421060800 is an abundant number, since it is smaller than the sum of its proper divisors (8346852672).

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

3421060800 is a wasteful number, since it uses less digits than its factorization.

3421060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3421060800 is about 58489.8350142997. The cubic root of 3421060800 is about 1506.7930124378.

The spelling of 3421060800 in words is "three billion, four hundred twenty-one million, sixty thousand, eight hundred".