3505123440 has 480 divisors, whose sum is σ = 14742139776. Its totient is φ = 726589440.

The previous prime is 3505123411. The next prime is 3505123481. The reversal of 3505123440 is 443215053.

3505123440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3996282 + ... + 3997158.

Almost surely, 2^3505123440 is an apocalyptic number.

3505123440 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 3505123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7371069888).

3505123440 is an abundant number, since it is smaller than the sum of its proper divisors (11237016336).

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

3505123440 is a wasteful number, since it uses less digits than its factorization.

3505123440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3505123440 is about 59204.0829673089. The cubic root of 3505123440 is about 1519.0349714713.

Adding to 3505123440 its reverse (443215053), we get a palindrome (3948338493).

The spelling of 3505123440 in words is "three billion, five hundred five million, one hundred twenty-three thousand, four hundred forty".