4004284032 has 256 divisors, whose sum is σ = 13646131200. Its totient is φ = 1132268544.

The previous prime is 4004284021. The next prime is 4004284049. The reversal of 4004284032 is 2304824004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4004283987 and 4004284005.

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, 2490973 + ... + 2492579.

It is an arithmetic number, because the mean of its divisors is an integer number (53305200).

Almost surely, 2^4004284032 is an apocalyptic number.

4004284032 is a gapful number since it is divisible by the number (42) 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 4004284032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6823065600).

4004284032 is an abundant number, since it is smaller than the sum of its proper divisors (9641847168).

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

4004284032 is a wasteful number, since it uses less digits than its factorization.

4004284032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4004284032 is about 63279.4123866523. The cubic root of 4004284032 is about 1587.9675561814.

The spelling of 4004284032 in words is "four billion, four million, two hundred eighty-four thousand, thirty-two".