3829996800 has 972 divisors, whose sum is σ = 16902980640. Its totient is φ = 823173120.

The previous prime is 3829996789. The next prime is 3829996811. The reversal of 3829996800 is 86999283.

It is an interprime number because it is at equal distance from previous prime (3829996789) and next prime (3829996811).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 64915171 + ... + 64915229.

Almost surely, 2^3829996800 is an apocalyptic number.

3829996800 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 3829996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8451490320).

3829996800 is an abundant number, since it is smaller than the sum of its proper divisors (13072983840).

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

3829996800 is a wasteful number, since it uses less digits than its factorization.

3829996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 3829996800 is about 61886.9679334834. The cubic root of 3829996800 is about 1564.5861100000.

The spelling of 3829996800 in words is "three billion, eight hundred twenty-nine million, nine hundred ninety-six thousand, eight hundred".