4334004004 has 24 divisors (see below), whose sum is σ = 8760715488. Its totient is φ = 1854119040.

The previous prime is 4334003983. The next prime is 4334004019. The reversal of 4334004004 is 4004004334.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2896314 + ... + 2897809.

It is an arithmetic number, because the mean of its divisors is an integer number (365029812).

Almost surely, 2^4334004004 is an apocalyptic number.

4334004004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4334004004 is an abundant number, since it is smaller than the sum of its proper divisors (4426711484).

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

4334004004 is a wasteful number, since it uses less digits than its factorization.

4334004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794155 (or 5794153 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 4334004004 is about 65833.1527727482. The cubic root of 4334004004 is about 1630.4085196843.

Adding to 4334004004 its reverse (4004004334), we get a palindrome (8338008338).

The spelling of 4334004004 in words is "four billion, three hundred thirty-four million, four thousand, four".