3521952000 has 432 divisors, whose sum is σ = 14491731072. Its totient is φ = 804556800.

The previous prime is 3521951977. The next prime is 3521952019. The reversal of 3521952000 is 2591253.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2015127 + ... + 2016873.

Almost surely, 2^3521952000 is an apocalyptic number.

3521952000 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 3521952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7245865536).

3521952000 is an abundant number, since it is smaller than the sum of its proper divisors (10969779072).

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

3521952000 is a wasteful number, since it uses less digits than its factorization.

3521952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 3521952000 is about 59346.0360934073. The cubic root of 3521952000 is about 1521.4621203435.

The spelling of 3521952000 in words is "three billion, five hundred twenty-one million, nine hundred fifty-two thousand".