3828358800 has 360 divisors, whose sum is σ = 15540892224. Its totient is φ = 854461440.

The previous prime is 3828358771. The next prime is 3828358801. The reversal of 3828358800 is 88538283.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3828358800² = 29312662203074880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3828358801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1081834 + ... + 1085366.

Almost surely, 2^3828358800 is an apocalyptic number.

3828358800 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 3828358800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7770446112).

3828358800 is an abundant number, since it is smaller than the sum of its proper divisors (11712533424).

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

3828358800 is a wasteful number, since it uses less digits than its factorization.

3828358800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3607 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 3828358800 is about 61873.7327142948. The cubic root of 3828358800 is about 1564.3630325740.

The spelling of 3828358800 in words is "three billion, eight hundred twenty-eight million, three hundred fifty-eight thousand, eight hundred".