3678943800 has 192 divisors, whose sum is σ = 13312005120. Its totient is φ = 822965760.

The previous prime is 3678943789. The next prime is 3678943813. The reversal of 3678943800 is 83498763.

It is a self number, because there is not a number n which added to its sum of digits gives 3678943800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188082 + ... + 206718.

It is an arithmetic number, because the mean of its divisors is an integer number (69333360).

Almost surely, 2^3678943800 is an apocalyptic number.

3678943800 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 3678943800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656002560).

3678943800 is an abundant number, since it is smaller than the sum of its proper divisors (9633061320).

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

3678943800 is a wasteful number, since it uses less digits than its factorization.

3678943800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18710 (or 18701 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 3678943800 is about 60654.2974569816. The cubic root of 3678943800 is about 1543.7408074764.

The spelling of 3678943800 in words is "three billion, six hundred seventy-eight million, nine hundred forty-three thousand, eight hundred".