3768923656512 has 896 divisors, whose sum is σ = 13296294789120. Its totient is φ = 1024530923520.

The previous prime is 3768923656489. The next prime is 3768923656513. The reversal of 3768923656512 is 2156563298673.

It is a happy number.

3768923656512 is a `hidden beast` number, since 3 + 7 + 6 + 89 + 2 + 36 + 5 + 6 + 512 = 666.

It is a super-2 number, since 2×3768923656512² (a number of 26 digits) contains 22 as substring.

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

Its product of digits (97977600) is a multiple of the sum of its prime divisors (972).

It is a self number, because there is not a number n which added to its sum of digits gives 3768923656512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3768923656513) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5861467263 + ... + 5861467905.

It is an arithmetic number, because the mean of its divisors is an integer number (14839614720).

Almost surely, 2^{3768923656512} is an apocalyptic number.

3768923656512 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 3768923656512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648147394560).

3768923656512 is an abundant number, since it is smaller than the sum of its proper divisors (9527371132608).

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

3768923656512 is a wasteful number, since it uses less digits than its factorization.

3768923656512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 972 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 3768923656512 in words is "three trillion, seven hundred sixty-eight billion, nine hundred twenty-three million, six hundred fifty-six thousand, five hundred twelve".