3685626559440 has 720 divisors, whose sum is σ = 15257695444992. Its totient is φ = 792232648704.

The previous prime is 3685626559393. The next prime is 3685626559463. The reversal of 3685626559440 is 449556265863.

3685626559440 is a `hidden beast` number, since 3 + 6 + 8 + 56 + 26 + 559 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3685626559440² (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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1371649777 + ... + 1371652463.

Almost surely, 2^{3685626559440} is an apocalyptic number.

3685626559440 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 3685626559440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7628847722496).

3685626559440 is an abundant number, since it is smaller than the sum of its proper divisors (11572068885552).

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

3685626559440 is a wasteful number, since it uses less digits than its factorization.

3685626559440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 63.

The spelling of 3685626559440 in words is "three trillion, six hundred eighty-five billion, six hundred twenty-six million, five hundred fifty-nine thousand, four hundred forty".