3829143240 has 512 divisors, whose sum is σ = 14849049600. Its totient is φ = 869253120.

The previous prime is 3829143239. The next prime is 3829143259. The reversal of 3829143240 is 423419283.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3829143195 and 3829143204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14559349 + ... + 14559611.

It is an arithmetic number, because the mean of its divisors is an integer number (29002050).

Almost surely, 2^3829143240 is an apocalyptic number.

3829143240 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 3829143240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424524800).

3829143240 is an abundant number, since it is smaller than the sum of its proper divisors (11019906360).

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

3829143240 is a wasteful number, since it uses less digits than its factorization.

3829143240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3829143240 is about 61880.0714285302. The cubic root of 3829143240 is about 1564.4698725364.

The spelling of 3829143240 in words is "three billion, eight hundred twenty-nine million, one hundred forty-three thousand, two hundred forty".