3523287040 has 384 divisors, whose sum is σ = 11007360000. Its totient is φ = 1051066368.

The previous prime is 3523287029. The next prime is 3523287041. The reversal of 3523287040 is 407823253.

It is a junction number, because it is equal to n+sod(n) for n = 3523286987 and 3523287005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3523287041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17704861 + ... + 17705059.

It is an arithmetic number, because the mean of its divisors is an integer number (28665000).

Almost surely, 2^3523287040 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 3523287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680000).

3523287040 is an abundant number, since it is smaller than the sum of its proper divisors (7484072960).

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

3523287040 is a wasteful number, since it uses less digits than its factorization.

3523287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 3523287040 is about 59357.2829566853. The cubic root of 3523287040 is about 1521.6543391463.

The spelling of 3523287040 in words is "three billion, five hundred twenty-three million, two hundred eighty-seven thousand, forty".