3505420800 has 1080 divisors, whose sum is σ = 15791551776. Its totient is φ = 766402560.

The previous prime is 3505420739. The next prime is 3505420813. The reversal of 3505420800 is 80245053.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 152409589 + ... + 152409611.

Almost surely, 2^3505420800 is an apocalyptic number.

3505420800 is a gapful number since it is divisible by the number (30) 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 3505420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7895775888).

3505420800 is an abundant number, since it is smaller than the sum of its proper divisors (12286130976).

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

3505420800 is an equidigital number, since it uses as much as digits as its factorization.

3505420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3505420800 is about 59206.5942273325. The cubic root of 3505420800 is about 1519.0779264460.

Adding to 3505420800 its reverse (80245053), we get a palindrome (3585665853).

The spelling of 3505420800 in words is "three billion, five hundred five million, four hundred twenty thousand, eight hundred".