3766214464032 has 96 divisors (see below), whose sum is σ = 10470397779072. Its totient is φ = 1181271117824.

The previous prime is 3766214464027. The next prime is 3766214464039. The reversal of 3766214464032 is 2304644126673.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (3766214464039) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6506653 + ... + 7061795.

It is an arithmetic number, because the mean of its divisors is an integer number (109066643532).

Almost surely, 2^{3766214464032} is an apocalyptic number.

3766214464032 is a gapful number since it is divisible by the number (32) 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 3766214464032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235198889536).

3766214464032 is an abundant number, since it is smaller than the sum of its proper divisors (6704183315040).

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

3766214464032 is a wasteful number, since it uses less digits than its factorization.

3766214464032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559330 (or 559322 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 48.

The spelling of 3766214464032 in words is "three trillion, seven hundred sixty-six billion, two hundred fourteen million, four hundred sixty-four thousand, thirty-two".