3521975040 has 288 divisors, whose sum is σ = 12634372800. Its totient is φ = 928972800.

The previous prime is 3521975029. The next prime is 3521975047. The reversal of 3521975040 is 405791253.

3521975040 is a `hidden beast` number, since 3 + 521 + 97 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 3521974986 and 3521975004.

It is not an unprimeable number, because it can be changed into a prime (3521975047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3490056 + ... + 3491064.

It is an arithmetic number, because the mean of its divisors is an integer number (43869350).

Almost surely, 2^3521975040 is an apocalyptic number.

3521975040 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 3521975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317186400).

3521975040 is an abundant number, since it is smaller than the sum of its proper divisors (9112397760).

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

3521975040 is a wasteful number, since it uses less digits than its factorization.

3521975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 3521975040 is about 59346.2302088347. The cubic root of 3521975040 is about 1521.4654380502.

The spelling of 3521975040 in words is "three billion, five hundred twenty-one million, nine hundred seventy-five thousand, forty".