3587897327616 has 640 divisors, whose sum is σ = 12674888424000. Its totient is φ = 989616144384.

The previous prime is 3587897327543. The next prime is 3587897327639. The reversal of 3587897327616 is 6167237987853.

3587897327616 is a `hidden beast` number, since 3 + 587 + 8 + 9 + 7 + 3 + 27 + 6 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 538800895 + ... + 538807553.

Almost surely, 2^{3587897327616} is an apocalyptic number.

3587897327616 is a gapful number since it is divisible by the number (36) 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 3587897327616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337444212000).

3587897327616 is an abundant number, since it is smaller than the sum of its proper divisors (9086991096384).

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

3587897327616 is an frugal number, since it uses more digits than its factorization.

3587897327616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6737 (or 6700 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 72.

The spelling of 3587897327616 in words is "three trillion, five hundred eighty-seven billion, eight hundred ninety-seven million, three hundred twenty-seven thousand, six hundred sixteen".