3766527049152 has 336 divisors, whose sum is σ = 12109621582080. Its totient is φ = 1011927318528.

The previous prime is 3766527049123. The next prime is 3766527049171. The reversal of 3766527049152 is 2519407256673.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3766527049092 and 3766527049101.

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, 500664463 + ... + 500671985.

Almost surely, 2^{3766527049152} is an apocalyptic number.

3766527049152 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 3766527049152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054810791040).

3766527049152 is an abundant number, since it is smaller than the sum of its proper divisors (8343094532928).

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

3766527049152 is a wasteful number, since it uses less digits than its factorization.

3766527049152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8868 (or 8841 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 57.

The spelling of 3766527049152 in words is "three trillion, seven hundred sixty-six billion, five hundred twenty-seven million, forty-nine thousand, one hundred fifty-two".