3575504640 has 144 divisors (see below), whose sum is σ = 11479104000. Its totient is φ = 948473856.

The previous prime is 3575504633. The next prime is 3575504701. The reversal of 3575504640 is 464055753.

3575504640 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 15 ways as a sum of consecutive naturals, for example, 761821 + ... + 766499.

It is an arithmetic number, because the mean of its divisors is an integer number (79716000).

Almost surely, 2^3575504640 is an apocalyptic number.

3575504640 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 3575504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739552000).

3575504640 is an abundant number, since it is smaller than the sum of its proper divisors (7903599360).

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

3575504640 is a wasteful number, since it uses less digits than its factorization.

3575504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4902 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 39.

The square root of 3575504640 is about 59795.5235782747. The cubic root of 3575504640 is about 1529.1348348902.

The spelling of 3575504640 in words is "three billion, five hundred seventy-five million, five hundred four thousand, six hundred forty".