3481056960 has 224 divisors, whose sum is σ = 11629412352. Its totient is φ = 880988160.

The previous prime is 3481056949. The next prime is 3481057009. The reversal of 3481056960 is 696501843.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1576177 + ... + 1578383.

Almost surely, 2^3481056960 is an apocalyptic number.

3481056960 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 3481056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5814706176).

3481056960 is an abundant number, since it is smaller than the sum of its proper divisors (8148355392).

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

3481056960 is a wasteful number, since it uses less digits than its factorization.

3481056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 3481056960 is about 59000.4827098898. The cubic root of 3481056960 is about 1515.5503756846.

The spelling of 3481056960 in words is "three billion, four hundred eighty-one million, fifty-six thousand, nine hundred sixty".