3668115456 has 170 divisors, whose sum is σ = 10974836972. Its totient is φ = 1220935680.

The previous prime is 3668115443. The next prime is 3668115467. The reversal of 3668115456 is 6545118663.

3668115456 is a `hidden beast` number, since 36 + 68 + 11 + 545 + 6 = 666.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5308071 + ... + 5308761.

Almost surely, 2^3668115456 is an apocalyptic number.

3668115456 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 3668115456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5487418486).

3668115456 is an abundant number, since it is smaller than the sum of its proper divisors (7306721516).

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

3668115456 is an frugal number, since it uses more digits than its factorization.

3668115456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 696 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 3668115456 is about 60564.9688846614. The cubic root of 3668115456 is about 1542.2247397609.

The spelling of 3668115456 in words is "three billion, six hundred sixty-eight million, one hundred fifteen thousand, four hundred fifty-six".