3575618640 has 480 divisors, whose sum is σ = 14195091456. Its totient is φ = 827988480.

The previous prime is 3575618633. The next prime is 3575618701. The reversal of 3575618640 is 468165753.

3575618640 is a `hidden beast` number, since 3 + 5 + 7 + 561 + 86 + 4 + 0 = 666.

3575618640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4917957 + ... + 4918683.

Almost surely, 2^3575618640 is an apocalyptic number.

3575618640 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 3575618640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097545728).

3575618640 is an abundant number, since it is smaller than the sum of its proper divisors (10619472816).

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

3575618640 is a wasteful number, since it uses less digits than its factorization.

3575618640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3575618640 is about 59796.4768192910. The cubic root of 3575618640 is about 1529.1510861644.

The spelling of 3575618640 in words is "three billion, five hundred seventy-five million, six hundred eighteen thousand, six hundred forty".