3550824960 has 320 divisors, whose sum is σ = 11932272000. Its totient is φ = 899612672.

The previous prime is 3550824913. The next prime is 3550824961. The reversal of 3550824960 is 694280553.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (3550824961) 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, 23830966 + ... + 23831114.

It is an arithmetic number, because the mean of its divisors is an integer number (37288350).

Almost surely, 2^3550824960 is an apocalyptic number.

3550824960 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 3550824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966136000).

3550824960 is an abundant number, since it is smaller than the sum of its proper divisors (8381447040).

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

3550824960 is a wasteful number, since it uses less digits than its factorization.

3550824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 3550824960 is about 59588.7989474532. The cubic root of 3550824960 is about 1525.6084588026.

The spelling of 3550824960 in words is "three billion, five hundred fifty million, eight hundred twenty-four thousand, nine hundred sixty".