3668577378048 has 288 divisors, whose sum is σ = 11887059582720. Its totient is φ = 1106787594240.

The previous prime is 3668577378017. The next prime is 3668577378091. The reversal of 3668577378048 is 8408737758663.

3668577378048 is a `hidden beast` number, since 3 + 6 + 6 + 8 + 577 + 3 + 7 + 8 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17152986 + ... + 17365542.

It is an arithmetic number, because the mean of its divisors is an integer number (41274512440).

Almost surely, 2^{3668577378048} 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 3668577378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943529791360).

3668577378048 is an abundant number, since it is smaller than the sum of its proper divisors (8218482204672).

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

3668577378048 is a wasteful number, since it uses less digits than its factorization.

3668577378048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212820 (or 212800 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 3668577378048 in words is "three trillion, six hundred sixty-eight billion, five hundred seventy-seven million, three hundred seventy-eight thousand, forty-eight".