3579852672 has 192 divisors, whose sum is σ = 11655221760. Its totient is φ = 1084700160.

The previous prime is 3579852667. The next prime is 3579852691. The reversal of 3579852672 is 2762589753.

3579852672 is a `hidden beast` number, since 3 + 579 + 8 + 5 + 2 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336913 + ... + 347375.

It is an arithmetic number, because the mean of its divisors is an integer number (60704280).

Almost surely, 2^3579852672 is an apocalyptic number.

3579852672 is a gapful number since it is divisible by the number (32) 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 3579852672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827610880).

3579852672 is an abundant number, since it is smaller than the sum of its proper divisors (8075369088).

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

3579852672 is a wasteful number, since it uses less digits than its factorization.

3579852672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10503 (or 10479 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 3579852672 is about 59831.8700359599. The cubic root of 3579852672 is about 1529.7544242533.

The spelling of 3579852672 in words is "three billion, five hundred seventy-nine million, eight hundred fifty-two thousand, six hundred seventy-two".