3682677909504 has 576 divisors, whose sum is σ = 11567315410560. Its totient is φ = 1038414643200.

The previous prime is 3682677909497. The next prime is 3682677909523. The reversal of 3682677909504 is 4059097762863.

It is a super-2 number, since 2×3682677909504² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632650914 + ... + 632656734.

It is an arithmetic number, because the mean of its divisors is an integer number (20082144810).

Almost surely, 2^{3682677909504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3682677909504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783657705280).

3682677909504 is an abundant number, since it is smaller than the sum of its proper divisors (7884637501056).

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

3682677909504 is a wasteful number, since it uses less digits than its factorization.

3682677909504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 66.

The spelling of 3682677909504 in words is "three trillion, six hundred eighty-two billion, six hundred seventy-seven million, nine hundred nine thousand, five hundred four".