3504166400 has 360 divisors, whose sum is σ = 10440934416. Its totient is φ = 1161216000.

The previous prime is 3504166387. The next prime is 3504166439. The reversal of 3504166400 is 46614053.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 23206325 + ... + 23206475.

Almost surely, 2^3504166400 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 3504166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5220467208).

3504166400 is an abundant number, since it is smaller than the sum of its proper divisors (6936768016).

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

3504166400 is a wasteful number, since it uses less digits than its factorization.

3504166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 3504166400 is about 59195.9998648557. Note that the first 3 decimals coincide. The cubic root of 3504166400 is about 1518.8967062920.

The spelling of 3504166400 in words is "three billion, five hundred four million, one hundred sixty-six thousand, four hundred".