3829129920 has 672 divisors, whose sum is σ = 16980627456. Its totient is φ = 768614400.

The previous prime is 3829129901. The next prime is 3829129949. The reversal of 3829129920 is 299219283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6874282 + ... + 6874838.

Almost surely, 2^3829129920 is an apocalyptic number.

3829129920 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 3829129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8490313728).

3829129920 is an abundant number, since it is smaller than the sum of its proper divisors (13151497536).

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

3829129920 is a wasteful number, since it uses less digits than its factorization.

3829129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 3829129920 is about 61879.9638008944. The cubic root of 3829129920 is about 1564.4680584872.

The spelling of 3829129920 in words is "three billion, eight hundred twenty-nine million, one hundred twenty-nine thousand, nine hundred twenty".