3581972160 has 224 divisors, whose sum is σ = 12781117440. Its totient is φ = 843313152.

The previous prime is 3581972129. The next prime is 3581972161. The reversal of 3581972160 is 612791853.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3581972161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280801 + ... + 293279.

It is an arithmetic number, because the mean of its divisors is an integer number (57058560).

Almost surely, 2^3581972160 is an apocalyptic number.

3581972160 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 3581972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390558720).

3581972160 is an abundant number, since it is smaller than the sum of its proper divisors (9199145280).

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

3581972160 is a wasteful number, since it uses less digits than its factorization.

3581972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12535 (or 12525 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 3581972160 is about 59849.5794471440. The cubic root of 3581972160 is about 1530.0562668871.

The spelling of 3581972160 in words is "three billion, five hundred eighty-one million, nine hundred seventy-two thousand, one hundred sixty".