3587652260010 has 896 divisors, whose sum is σ = 12608957684736. Its totient is φ = 713903984640.

The previous prime is 3587652260009. The next prime is 3587652260057. The reversal of 3587652260010 is 100622567853.

3587652260010 is a `hidden beast` number, since 3 + 5 + 8 + 7 + 6 + 5 + 22 + 600 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1113830200 + ... + 1113833420.

It is an arithmetic number, because the mean of its divisors is an integer number (14072497416).

Almost surely, 2^{3587652260010} is an apocalyptic number.

3587652260010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3587652260010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6304478842368).

3587652260010 is an abundant number, since it is smaller than the sum of its proper divisors (9021305424726).

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

3587652260010 is a wasteful number, since it uses less digits than its factorization.

3587652260010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 3587652260010 in words is "three trillion, five hundred eighty-seven billion, six hundred fifty-two million, two hundred sixty thousand, ten".