3677773796928 has 672 divisors, whose sum is σ = 13292305079040. Its totient is φ = 952326144000.

The previous prime is 3677773796881. The next prime is 3677773796999. The reversal of 3677773796928 is 8296973777763.

It is a happy number.

3677773796928 is a `hidden beast` number, since 36 + 77 + 77 + 379 + 69 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2152002538 + ... + 2152004246.

Almost surely, 2^{3677773796928} 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 3677773796928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6646152539520).

3677773796928 is an abundant number, since it is smaller than the sum of its proper divisors (9614531282112).

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

3677773796928 is a wasteful number, since it uses less digits than its factorization.

3677773796928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2133 counting only the distinct ones).

The product of its digits is 7057326528, while the sum is 81.

The spelling of 3677773796928 in words is "three trillion, six hundred seventy-seven billion, seven hundred seventy-three million, seven hundred ninety-six thousand, nine hundred twenty-eight".