3669958656 has 336 divisors, whose sum is σ = 13071799104. Its totient is φ = 966131712.

The previous prime is 3669958601. The next prime is 3669958673. The reversal of 3669958656 is 6568599663.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 3669958593 and 3669958602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6708975 + ... + 6709521.

It is an arithmetic number, because the mean of its divisors is an integer number (38904164).

Almost surely, 2^3669958656 is an apocalyptic number.

3669958656 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 3669958656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535899552).

3669958656 is an abundant number, since it is smaller than the sum of its proper divisors (9401840448).

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

3669958656 is a wasteful number, since it uses less digits than its factorization.

3669958656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 572 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The square root of 3669958656 is about 60580.1836907086. The cubic root of 3669958656 is about 1542.4830152228.

The spelling of 3669958656 in words is "three billion, six hundred sixty-nine million, nine hundred fifty-eight thousand, six hundred fifty-six".