3521422080 has 576 divisors, whose sum is σ = 13951526400. Its totient is φ = 833863680.

The previous prime is 3521422067. The next prime is 3521422097. The reversal of 3521422080 is 802241253.

3521422080 is a `hidden beast` number, since 3 + 521 + 42 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 22429362 + ... + 22429518.

It is an arithmetic number, because the mean of its divisors is an integer number (24221400).

Almost surely, 2^3521422080 is an apocalyptic number.

3521422080 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 3521422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6975763200).

3521422080 is an abundant number, since it is smaller than the sum of its proper divisors (10430104320).

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

3521422080 is a wasteful number, since it uses less digits than its factorization.

3521422080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3521422080 is about 59341.5712633226. The cubic root of 3521422080 is about 1521.3858090965.

The spelling of 3521422080 in words is "three billion, five hundred twenty-one million, four hundred twenty-two thousand, eighty".