3528420480 has 512 divisors, whose sum is σ = 13674528000. Its totient is φ = 854654976.

The previous prime is 3528420457. The next prime is 3528420487. The reversal of 3528420480 is 840248253.

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

It is not an unprimeable number, because it can be changed into a prime (3528420487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25384251 + ... + 25384389.

Almost surely, 2^3528420480 is an apocalyptic number.

3528420480 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 3528420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6837264000).

3528420480 is an abundant number, since it is smaller than the sum of its proper divisors (10146107520).

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

3528420480 is a wasteful number, since it uses less digits than its factorization.

3528420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 3528420480 is about 59400.5090887275. The cubic root of 3528420480 is about 1522.3929988622.

The spelling of 3528420480 in words is "three billion, five hundred twenty-eight million, four hundred twenty thousand, four hundred eighty".