3587003997696 has 480 divisors, whose sum is σ = 12771431861760. Its totient is φ = 946490130432.

The previous prime is 3587003997649. The next prime is 3587003997701. The reversal of 3587003997696 is 6967993007853.

3587003997696 is a `hidden beast` number, since 3 + 5 + 87 + 0 + 0 + 399 + 76 + 96 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 21431391 + ... + 21598113.

It is an arithmetic number, because the mean of its divisors is an integer number (26607149712).

Almost surely, 2^{3587003997696} is an apocalyptic number.

3587003997696 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 3587003997696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6385715930880).

3587003997696 is an abundant number, since it is smaller than the sum of its proper divisors (9184427864064).

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

3587003997696 is a wasteful number, since it uses less digits than its factorization.

3587003997696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166806 (or 166787 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 72.

The spelling of 3587003997696 in words is "three trillion, five hundred eighty-seven billion, three million, nine hundred ninety-seven thousand, six hundred ninety-six".