3677627646 has 192 divisors, whose sum is σ = 10610196480. Its totient is φ = 891233280.

The previous prime is 3677627623. The next prime is 3677627689. The reversal of 3677627646 is 6467267763.

It is a happy number.

3677627646 is a `hidden beast` number, since 3 + 6 + 7 + 7 + 627 + 6 + 4 + 6 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3677627592 and 3677627601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2991760 + ... + 2992988.

It is an arithmetic number, because the mean of its divisors is an integer number (55261440).

Almost surely, 2^3677627646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3677627646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305098240).

3677627646 is an abundant number, since it is smaller than the sum of its proper divisors (6932568834).

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

3677627646 is a wasteful number, since it uses less digits than its factorization.

3677627646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1396 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 54.

The square root of 3677627646 is about 60643.4468512468. The cubic root of 3677627646 is about 1543.5566927692.

The spelling of 3677627646 in words is "three billion, six hundred seventy-seven million, six hundred twenty-seven thousand, six hundred forty-six".