3428686800 has 1440 divisors, whose sum is σ = 16827494400. Its totient is φ = 653184000.

The previous prime is 3428686753. The next prime is 3428686817. The reversal of 3428686800 is 86868243.

It is a happy number.

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 287 ways as a sum of consecutive naturals, for example, 110602785 + ... + 110602815.

It is an arithmetic number, because the mean of its divisors is an integer number (11685760).

Almost surely, 2^3428686800 is an apocalyptic number.

3428686800 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 3428686800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8413747200).

3428686800 is an abundant number, since it is smaller than the sum of its proper divisors (13398807600).

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

3428686800 is a wasteful number, since it uses less digits than its factorization.

3428686800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3428686800 is about 58554.9895397480. The cubic root of 3428686800 is about 1507.9117956229.

The spelling of 3428686800 in words is "three billion, four hundred twenty-eight million, six hundred eighty-six thousand, eight hundred".