3829010700 has 72 divisors (see below), whose sum is σ = 11096289792. Its totient is φ = 1019439680.

The previous prime is 3829010699. The next prime is 3829010719. The reversal of 3829010700 is 70109283.

It is a happy number.

It is a super-2 number, since 2×3829010700² = 29322645881428980000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184237 + ... + 203963.

It is an arithmetic number, because the mean of its divisors is an integer number (154115136).

Almost surely, 2^3829010700 is an apocalyptic number.

3829010700 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 3829010700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548144896).

3829010700 is an abundant number, since it is smaller than the sum of its proper divisors (7267279092).

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

3829010700 is a wasteful number, since it uses less digits than its factorization.

3829010700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20391 (or 20384 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 3829010700 is about 61879.0004767369. Note that the first 3 decimals coincide. The cubic root of 3829010700 is about 1564.4518217423.

Adding to 3829010700 its reverse (70109283), we get a palindrome (3899119983).

The spelling of 3829010700 in words is "three billion, eight hundred twenty-nine million, ten thousand, seven hundred".