3689418670560 has 576 divisors, whose sum is σ = 15493393843200. Its totient is φ = 780235554816.

The previous prime is 3689418670547. The next prime is 3689418670583. The reversal of 3689418670560 is 650768149863.

3689418670560 is a `hidden beast` number, since 3 + 6 + 8 + 9 + 4 + 1 + 8 + 67 + 0 + 560 = 666.

It is a super-2 number, since 2×3689418670560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9927781 + ... + 10292699.

It is an arithmetic number, because the mean of its divisors is an integer number (26898253200).

Almost surely, 2^{3689418670560} is an apocalyptic number.

3689418670560 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 3689418670560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7746696921600).

3689418670560 is an abundant number, since it is smaller than the sum of its proper divisors (11803975172640).

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

3689418670560 is a wasteful number, since it uses less digits than its factorization.

3689418670560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365023 (or 365012 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 3689418670560 in words is "three trillion, six hundred eighty-nine billion, four hundred eighteen million, six hundred seventy thousand, five hundred sixty".