3829570920 has 256 divisors, whose sum is σ = 14630284800. Its totient is φ = 872847360.

The previous prime is 3829570919. The next prime is 3829570937. The reversal of 3829570920 is 290759283.

3829570920 is a `hidden beast` number, since 38 + 29 + 570 + 9 + 20 = 666.

It is a super-2 number, since 2×3829570920² = 29331226862619292800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 4664110 + ... + 4664930.

It is an arithmetic number, because the mean of its divisors is an integer number (57149550).

Almost surely, 2^3829570920 is an apocalyptic number.

3829570920 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 3829570920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315142400).

3829570920 is an abundant number, since it is smaller than the sum of its proper divisors (10800713880).

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

3829570920 is a wasteful number, since it uses less digits than its factorization.

3829570920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3829570920 is about 61883.5270488035. The cubic root of 3829570920 is about 1564.5281159888.

The spelling of 3829570920 in words is "three billion, eight hundred twenty-nine million, five hundred seventy thousand, nine hundred twenty".