3531795360 has 192 divisors, whose sum is σ = 11667172608. Its totient is φ = 896344064.

The previous prime is 3531795359. The next prime is 3531795361. The reversal of 3531795360 is 635971353.

It is an interprime number because it is at equal distance from previous prime (3531795359) and next prime (3531795361).

It is not an unprimeable number, because it can be changed into a prime (3531795361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2571634 + ... + 2573006.

It is an arithmetic number, because the mean of its divisors is an integer number (60766524).

Almost surely, 2^3531795360 is an apocalyptic number.

3531795360 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 3531795360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5833586304).

3531795360 is an abundant number, since it is smaller than the sum of its proper divisors (8135377248).

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

3531795360 is a wasteful number, since it uses less digits than its factorization.

3531795360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 42.

The square root of 3531795360 is about 59428.9101363974. The cubic root of 3531795360 is about 1522.8782260319.

The spelling of 3531795360 in words is "three billion, five hundred thirty-one million, seven hundred ninety-five thousand, three hundred sixty".