3531146880 has 128 divisors (see below), whose sum is σ = 11315635200. Its totient is φ = 936611840.

The previous prime is 3531146813. The next prime is 3531146881. The reversal of 3531146880 is 886411353.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3531146881) 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, 361906 + ... + 371534.

It is an arithmetic number, because the mean of its divisors is an integer number (88403400).

Almost surely, 2^3531146880 is an apocalyptic number.

3531146880 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 3531146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657817600).

3531146880 is an abundant number, since it is smaller than the sum of its proper divisors (7784488320).

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

3531146880 is a wasteful number, since it uses less digits than its factorization.

3531146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9842 (or 9830 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 3531146880 is about 59423.4539554880. The cubic root of 3531146880 is about 1522.7850140892.

The spelling of 3531146880 in words is "three billion, five hundred thirty-one million, one hundred forty-six thousand, eight hundred eighty".