3531960960 has 384 divisors, whose sum is σ = 12932196480. Its totient is φ = 817766400.

The previous prime is 3531960941. The next prime is 3531960979. The reversal of 3531960960 is 690691353.

It is an interprime number because it is at equal distance from previous prime (3531960941) and next prime (3531960979).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5343030 + ... + 5343690.

It is an arithmetic number, because the mean of its divisors is an integer number (33677595).

Almost surely, 2^3531960960 is an apocalyptic number.

3531960960 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 3531960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6466098240).

3531960960 is an abundant number, since it is smaller than the sum of its proper divisors (9400235520).

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

3531960960 is a wasteful number, since it uses less digits than its factorization.

3531960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 42.

The square root of 3531960960 is about 59430.3033813559. The cubic root of 3531960960 is about 1522.9020274008.

The spelling of 3531960960 in words is "three billion, five hundred thirty-one million, nine hundred sixty thousand, nine hundred sixty".