3600676834560 has 2304 divisors, whose sum is σ = 15427915776000. Its totient is φ = 786197643264.

The previous prime is 3600676834529. The next prime is 3600676834567. The reversal of 3600676834560 is 654386760063.

3600676834560 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 6 + 76 + 8 + 3 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×3600676834560² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3600676834497 and 3600676834506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3600676834567) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18093853341 + ... + 18093853539.

It is an arithmetic number, because the mean of its divisors is an integer number (6696144000).

Almost surely, 2^{3600676834560} is an apocalyptic number.

3600676834560 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 3600676834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713957888000).

3600676834560 is an abundant number, since it is smaller than the sum of its proper divisors (11827238941440).

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

3600676834560 is a wasteful number, since it uses less digits than its factorization.

3600676834560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

It can be divided in two parts, 3600676 and 834560, that added together give a square (4435236 = 2106²).

The spelling of 3600676834560 in words is "three trillion, six hundred billion, six hundred seventy-six million, eight hundred thirty-four thousand, five hundred sixty".