3531685632 has 144 divisors (see below), whose sum is σ = 9680711040. Its totient is φ = 1142378496.

The previous prime is 3531685613. The next prime is 3531685637. The reversal of 3531685632 is 2365861353.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3531685637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7562263 + ... + 7562729.

It is an arithmetic number, because the mean of its divisors is an integer number (67227160).

Almost surely, 2^3531685632 is an apocalyptic number.

3531685632 is a gapful number since it is divisible by the number (32) 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 3531685632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840355520).

3531685632 is an abundant number, since it is smaller than the sum of its proper divisors (6149025408).

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

3531685632 is a wasteful number, since it uses less digits than its factorization.

3531685632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 744 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The square root of 3531685632 is about 59427.9869421807. The cubic root of 3531685632 is about 1522.8624546281.

The spelling of 3531685632 in words is "three billion, five hundred thirty-one million, six hundred eighty-five thousand, six hundred thirty-two".