3766395604608 has 1920 divisors, whose sum is σ = 15072200478720. Its totient is φ = 905971433472.

The previous prime is 3766395604561. The next prime is 3766395604649. The reversal of 3766395604608 is 8064065936673.

It is a happy number.

3766395604608 is a `hidden beast` number, since 3 + 7 + 6 + 6 + 3 + 9 + 560 + 4 + 60 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 29656658241 + ... + 29656658367.

It is an arithmetic number, because the mean of its divisors is an integer number (7850104416).

Almost surely, 2^{3766395604608} 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 3766395604608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7536100239360).

3766395604608 is an abundant number, since it is smaller than the sum of its proper divisors (11305804874112).

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

3766395604608 is a wasteful number, since it uses less digits than its factorization.

3766395604608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 3766395604608 in words is "three trillion, seven hundred sixty-six billion, three hundred ninety-five million, six hundred four thousand, six hundred eight".