3531234960 has 480 divisors, whose sum is σ = 13655376000. Its totient is φ = 837872640.

The previous prime is 3531234929. The next prime is 3531234961. The reversal of 3531234960 is 694321353.

It is a happy number.

3531234960 is a `hidden beast` number, since 3 + 531 + 2 + 34 + 96 + 0 = 666.

3531234960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3531234961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15420126 + ... + 15420354.

It is an arithmetic number, because the mean of its divisors is an integer number (28448700).

Almost surely, 2^3531234960 is an apocalyptic number.

3531234960 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 3531234960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6827688000).

3531234960 is an abundant number, since it is smaller than the sum of its proper divisors (10124141040).

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

3531234960 is a wasteful number, since it uses less digits than its factorization.

3531234960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3531234960 is about 59424.1950723777. The cubic root of 3531234960 is about 1522.7976753003.

The spelling of 3531234960 in words is "three billion, five hundred thirty-one million, two hundred thirty-four thousand, nine hundred sixty".