3523322880 has 704 divisors, whose sum is σ = 15658076160. Its totient is φ = 729907200.

The previous prime is 3523322861. The next prime is 3523322917. The reversal of 3523322880 is 882233253.

It is a happy number.

3523322880 is a `hidden beast` number, since 3 + 523 + 32 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10644315 + ... + 10644645.

Almost surely, 2^3523322880 is an apocalyptic number.

3523322880 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 3523322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7829038080).

3523322880 is an abundant number, since it is smaller than the sum of its proper divisors (12134753280).

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

3523322880 is a wasteful number, since it uses less digits than its factorization.

3523322880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3523322880 is about 59357.5848565287. The cubic root of 3523322880 is about 1521.6594987133.

The spelling of 3523322880 in words is "three billion, five hundred twenty-three million, three hundred twenty-two thousand, eight hundred eighty".