3526985280 has 448 divisors, whose sum is σ = 14092001280. Its totient is φ = 727474176.

The previous prime is 3526985243. The next prime is 3526985303. The reversal of 3526985280 is 825896253.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4105491 + ... + 4106349.

It is an arithmetic number, because the mean of its divisors is an integer number (31455360).

Almost surely, 2^3526985280 is an apocalyptic number.

3526985280 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 3526985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046000640).

3526985280 is an abundant number, since it is smaller than the sum of its proper divisors (10565016000).

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

3526985280 is a wasteful number, since it uses less digits than its factorization.

3526985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 3526985280 is about 59388.4271554652. The cubic root of 3526985280 is about 1522.1865575990.

The spelling of 3526985280 in words is "three billion, five hundred twenty-six million, nine hundred eighty-five thousand, two hundred eighty".