3829220400 has 60 divisors (see below), whose sum is σ = 12266273192. Its totient is φ = 1021125120.

The previous prime is 3829220387. The next prime is 3829220431. The reversal of 3829220400 is 40229283.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1594309 + ... + 1596708.

Almost surely, 2^3829220400 is an apocalyptic number.

3829220400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3829220400 is an abundant number, since it is smaller than the sum of its proper divisors (8437052792).

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

3829220400 is a wasteful number, since it uses less digits than its factorization.

3829220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191038 (or 3191027 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3829220400 is about 61880.6948894403. The cubic root of 3829220400 is about 1564.4803808649.

Adding to 3829220400 its reverse (40229283), we get a palindrome (3869449683).

The spelling of 3829220400 in words is "three billion, eight hundred twenty-nine million, two hundred twenty thousand, four hundred".