3829120000 has 220 divisors, whose sum is σ = 9924773056. Its totient is φ = 1474560000.

The previous prime is 3829119941. The next prime is 3829120003. The reversal of 3829120000 is 219283.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3829120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19839904 + ... + 19840096.

Almost surely, 2^3829120000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3829120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962386528).

3829120000 is an abundant number, since it is smaller than the sum of its proper divisors (6095653056).

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

3829120000 is an equidigital number, since it uses as much as digits as its factorization.

3829120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 3829120000 is about 61879.8836456566. The cubic root of 3829120000 is about 1564.4667074809.

Adding to 3829120000 its reverse (219283), we get a palindrome (3829339283).

The spelling of 3829120000 in words is "three billion, eight hundred twenty-nine million, one hundred twenty thousand".