3575255040 has 624 divisors, whose sum is σ = 15088215168. Its totient is φ = 764411904.

The previous prime is 3575255039. The next prime is 3575255051. The reversal of 3575255040 is 405525753.

3575255040 is a `hidden beast` number, since 3 + 57 + 52 + 550 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3575254986 and 3575255004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21933999 + ... + 21934161.

It is an arithmetic number, because the mean of its divisors is an integer number (24179832).

Almost surely, 2^3575255040 is an apocalyptic number.

3575255040 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 3575255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7544107584).

3575255040 is an abundant number, since it is smaller than the sum of its proper divisors (11512960128).

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

3575255040 is a wasteful number, since it uses less digits than its factorization.

3575255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 36.

The square root of 3575255040 is about 59793.4364290931. The cubic root of 3575255040 is about 1529.0992519469.

The spelling of 3575255040 in words is "three billion, five hundred seventy-five million, two hundred fifty-five thousand, forty".