3766808064000 has 832 divisors, whose sum is σ = 13267815874560. Its totient is φ = 946313625600.

The previous prime is 3766808063983. The next prime is 3766808064017. The reversal of 3766808064000 is 4608086673.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3766808063983) and next prime (3766808064017).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9835007809 + ... + 9835008191.

It is an arithmetic number, because the mean of its divisors is an integer number (15946894080).

Almost surely, 2^{3766808064000} is an apocalyptic number.

3766808064000 is a gapful number since it is divisible by the number (30) 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 3766808064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6633907937280).

3766808064000 is an abundant number, since it is smaller than the sum of its proper divisors (9501007810560).

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

3766808064000 is a wasteful number, since it uses less digits than its factorization.

3766808064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 3766808064000 in words is "three trillion, seven hundred sixty-six billion, eight hundred eight million, sixty-four thousand".