3504669168 has 480 divisors, whose sum is σ = 12929728000. Its totient is φ = 793774080.

The previous prime is 3504669151. The next prime is 3504669211. The reversal of 3504669168 is 8619664053.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 10041858 + ... + 10042206.

Almost surely, 2^3504669168 is an apocalyptic number.

3504669168 is a gapful number since it is divisible by the number (38) 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 3504669168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6464864000).

3504669168 is an abundant number, since it is smaller than the sum of its proper divisors (9425058832).

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

3504669168 is a wasteful number, since it uses less digits than its factorization.

3504669168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 3504669168 is about 59200.2463508388. The cubic root of 3504669168 is about 1518.9693451693.

The spelling of 3504669168 in words is "three billion, five hundred four million, six hundred sixty-nine thousand, one hundred sixty-eight".