3800832 has 108 divisors (see below), whose sum is σ = 11883816. Its totient is φ = 1075200.

The previous prime is 3800807. The next prime is 3800857. The reversal of 3800832 is 2380083.

It is an interprime number because it is at equal distance from previous prime (3800807) and next prime (3800857).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37582 + ... + 37682.

Almost surely, 2^3800832 is an apocalyptic number.

3800832 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 3800832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941908).

3800832 is an abundant number, since it is smaller than the sum of its proper divisors (8082984).

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

3800832 is a wasteful number, since it uses less digits than its factorization.

3800832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3800832 is about 1949.5722607793. The cubic root of 3800832 is about 156.0604630845.

The spelling of 3800832 in words is "three million, eight hundred thousand, eight hundred thirty-two".