3504384008 has 32 divisors (see below), whose sum is σ = 6638247000. Its totient is φ = 1734220800.

The previous prime is 3504384007. The next prime is 3504384043. The reversal of 3504384008 is 8004834053.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2931356164 + 573027844 = 54142^2 + 23938^2 .

It is a super-2 number, since 2×3504384008² = 24561414551052288128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3504384007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1132928 + ... + 1136016.

Almost surely, 2^3504384008 is an apocalyptic number.

It is an amenable number.

3504384008 is a deficient number, since it is larger than the sum of its proper divisors (3133862992).

3504384008 is a wasteful number, since it uses less digits than its factorization.

3504384008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 3504384008 is about 59197.8378659221. The cubic root of 3504384008 is about 1518.9281466970.

The spelling of 3504384008 in words is "three billion, five hundred four million, three hundred eighty-four thousand, eight".