3523795632 has 480 divisors, whose sum is σ = 12813465600. Its totient is φ = 879869952.

The previous prime is 3523795609. The next prime is 3523795643. The reversal of 3523795632 is 2365973253.

3523795632 is a `hidden beast` number, since 3 + 5 + 2 + 3 + 7 + 9 + 5 + 632 = 666.

It is a super-2 number, since 2×3523795632² = 24834271312204558848, which contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 25721068 + ... + 25721204.

It is an arithmetic number, because the mean of its divisors is an integer number (26694720).

Almost surely, 2^3523795632 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 3523795632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6406732800).

3523795632 is an abundant number, since it is smaller than the sum of its proper divisors (9289669968).

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

3523795632 is a wasteful number, since it uses less digits than its factorization.

3523795632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 264 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 45.

The square root of 3523795632 is about 59361.5669604501. The cubic root of 3523795632 is about 1521.7275533523.

The spelling of 3523795632 in words is "three billion, five hundred twenty-three million, seven hundred ninety-five thousand, six hundred thirty-two".