3505113600 has 240 divisors, whose sum is σ = 11896687968. Its totient is φ = 909066240.

The previous prime is 3505113593. The next prime is 3505113613. The reversal of 3505113600 is 63115053.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 1419567 + ... + 1422033.

Almost surely, 2^3505113600 is an apocalyptic number.

3505113600 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 3505113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948343984).

3505113600 is an abundant number, since it is smaller than the sum of its proper divisors (8391574368).

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

3505113600 is a wasteful number, since it uses less digits than its factorization.

3505113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 3505113600 is about 59203.9998648740. Note that the first 3 decimals coincide. The cubic root of 3505113600 is about 1519.0335499980.

Adding to 3505113600 its reverse (63115053), we get a palindrome (3568228653).

The spelling of 3505113600 in words is "three billion, five hundred five million, one hundred thirteen thousand, six hundred".