3505515468 has 288 divisors, whose sum is σ = 10845241344. Its totient is φ = 871782912.

The previous prime is 3505515463. The next prime is 3505515521. The reversal of 3505515468 is 8645155053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3505515463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22328046 + ... + 22328202.

It is an arithmetic number, because the mean of its divisors is an integer number (37657088).

Almost surely, 2^3505515468 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 3505515468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5422620672).

3505515468 is an abundant number, since it is smaller than the sum of its proper divisors (7339725876).

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

3505515468 is a wasteful number, since it uses less digits than its factorization.

3505515468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The square root of 3505515468 is about 59207.3936936934. The cubic root of 3505515468 is about 1519.0916011499.

The spelling of 3505515468 in words is "three billion, five hundred five million, five hundred fifteen thousand, four hundred sixty-eight".