3828266400 has 144 divisors (see below), whose sum is σ = 14241213504. Its totient is φ = 875028480.

The previous prime is 3828266371. The next prime is 3828266401. The reversal of 3828266400 is 46628283.

It is not an unprimeable number, because it can be changed into a prime (3828266401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97137 + ... + 130736.

It is an arithmetic number, because the mean of its divisors is an integer number (98897316).

Almost surely, 2^3828266400 is an apocalyptic number.

3828266400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3828266400 is an abundant number, since it is smaller than the sum of its proper divisors (10412947104).

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

3828266400 is a wasteful number, since it uses less digits than its factorization.

3828266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227903 (or 227890 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 3828266400 is about 61872.9860278296. The cubic root of 3828266400 is about 1564.3504468234.

The spelling of 3828266400 in words is "three billion, eight hundred twenty-eight million, two hundred sixty-six thousand, four hundred".