3834200832 has 288 divisors, whose sum is σ = 13280440320. Its totient is φ = 952258560.

The previous prime is 3834200803. The next prime is 3834200857. The reversal of 3834200832 is 2380024383.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3834200793 and 3834200802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1358719 + ... + 1361537.

It is an arithmetic number, because the mean of its divisors is an integer number (46112640).

Almost surely, 2^3834200832 is an apocalyptic number.

3834200832 is a gapful number since it is divisible by the number (32) 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 3834200832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640220160).

3834200832 is an abundant number, since it is smaller than the sum of its proper divisors (9446239488).

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

3834200832 is a wasteful number, since it uses less digits than its factorization.

3834200832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3834200832 is about 61920.9240241132. The cubic root of 3834200832 is about 1565.1583615570.

The spelling of 3834200832 in words is "three billion, eight hundred thirty-four million, two hundred thousand, eight hundred thirty-two".