3579895388160 has 1920 divisors, whose sum is σ = 16174478960640. Its totient is φ = 737084178432.

The previous prime is 3579895388129. The next prime is 3579895388189. The reversal of 3579895388160 is 618835989753.

3579895388160 is a `hidden beast` number, since 3 + 5 + 7 + 9 + 8 + 9 + 538 + 81 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3245598169 + ... + 3245599271.

It is an arithmetic number, because the mean of its divisors is an integer number (8424207792).

Almost surely, 2^{3579895388160} is an apocalyptic number.

3579895388160 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 3579895388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087239480320).

3579895388160 is an abundant number, since it is smaller than the sum of its proper divisors (12594583572480).

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

3579895388160 is a wasteful number, since it uses less digits than its factorization.

3579895388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 3579895388160 in words is "three trillion, five hundred seventy-nine billion, eight hundred ninety-five million, three hundred eighty-eight thousand, one hundred sixty".