4000032 has 144 divisors (see below), whose sum is σ = 12972960. Its totient is φ = 1161216.

The previous prime is 3999971. The next prime is 4000037. The reversal of 4000032 is 2300004.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3999978 and 4000023.

It is not an unprimeable number, because it can be changed into a prime (4000037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93003 + ... + 93045.

It is an arithmetic number, because the mean of its divisors is an integer number (90090).

Almost surely, 2^4000032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486480).

4000032 is an abundant number, since it is smaller than the sum of its proper divisors (8972928).

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

4000032 is a wasteful number, since it uses less digits than its factorization.

4000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 4000032 is about 2000.0079999840. The cubic root of 4000032 is about 158.7405285026.

Adding to 4000032 its reverse (2300004), we get a palindrome (6300036).

The spelling of 4000032 in words is "four million, thirty-two", and thus it is an aban number and an eban number.