3649969656 has 72 divisors (see below), whose sum is σ = 10075927680. Its totient is φ = 1193634624.

The previous prime is 3649969643. The next prime is 3649969669. The reversal of 3649969656 is 6569699463.

3649969656 is a `hidden beast` number, since 3 + 6 + 499 + 6 + 96 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (3649969643) and next prime (3649969669).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 3649969593 and 3649969602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 193225 + ... + 211271.

It is an arithmetic number, because the mean of its divisors is an integer number (139943440).

Almost surely, 2^3649969656 is an apocalyptic number.

3649969656 is a gapful number since it is divisible by the number (36) 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 3649969656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037963840).

3649969656 is an abundant number, since it is smaller than the sum of its proper divisors (6425958024).

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

3649969656 is a wasteful number, since it uses less digits than its factorization.

3649969656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18165 (or 18105 counting only the distinct ones).

The product of its digits is 56687040, while the sum is 63.

The square root of 3649969656 is about 60414.9787387201. The cubic root of 3649969656 is about 1539.6774576093.

The spelling of 3649969656 in words is "three billion, six hundred forty-nine million, nine hundred sixty-nine thousand, six hundred fifty-six".