3776427021312 has 528 divisors, whose sum is σ = 12336498672960. Its totient is φ = 1140334018560.

The previous prime is 3776427021307. The next prime is 3776427021329. The reversal of 3776427021312 is 2131207246773.

3776427021312 is a `hidden beast` number, since 3 + 7 + 7 + 6 + 427 + 0 + 213 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×3776427021312² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1027038418 + ... + 1027042094.

It is an arithmetic number, because the mean of its divisors is an integer number (23364580820).

Almost surely, 2^{3776427021312} is an apocalyptic number.

3776427021312 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 3776427021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168249336480).

3776427021312 is an abundant number, since it is smaller than the sum of its proper divisors (8560071651648).

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

3776427021312 is a wasteful number, since it uses less digits than its factorization.

3776427021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 3776427021312 in words is "three trillion, seven hundred seventy-six billion, four hundred twenty-seven million, twenty-one thousand, three hundred twelve".