3766273365888 has 320 divisors, whose sum is σ = 12245262416640. Its totient is φ = 1139619456000.

The previous prime is 3766273365863. The next prime is 3766273365901. The reversal of 3766273365888 is 8885633726673.

3766273365888 is a `hidden beast` number, since 3 + 7 + 6 + 6 + 2 + 7 + 3 + 36 + 588 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78783273 + ... + 78831063.

It is an arithmetic number, because the mean of its divisors is an integer number (38266445052).

Almost surely, 2^{3766273365888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3766273365888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122631208320).

3766273365888 is an abundant number, since it is smaller than the sum of its proper divisors (8478989050752).

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

3766273365888 is a wasteful number, since it uses less digits than its factorization.

3766273365888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48519 (or 48498 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 72.

The spelling of 3766273365888 in words is "three trillion, seven hundred sixty-six billion, two hundred seventy-three million, three hundred sixty-five thousand, eight hundred eighty-eight".