3876366297456 has 160 divisors (see below), whose sum is σ = 11429516916480. Its totient is φ = 1256958860544.

The previous prime is 3876366297421. The next prime is 3876366297473. The reversal of 3876366297456 is 6547926636783.

3876366297456 is a `hidden beast` number, since 3 + 87 + 6 + 3 + 6 + 6 + 2 + 97 + 456 = 666.

3876366297456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 95675955 + ... + 95716461.

It is an arithmetic number, because the mean of its divisors is an integer number (71434480728).

Almost surely, 2^{3876366297456} is an apocalyptic number.

3876366297456 is a gapful number since it is divisible by the number (36) 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 3876366297456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714758458240).

3876366297456 is an abundant number, since it is smaller than the sum of its proper divisors (7553150619024).

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

3876366297456 is a wasteful number, since it uses less digits than its factorization.

3876366297456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46548 (or 46536 counting only the distinct ones).

The product of its digits is 1646023680, while the sum is 72.

The spelling of 3876366297456 in words is "three trillion, eight hundred seventy-six billion, three hundred sixty-six million, two hundred ninety-seven thousand, four hundred fifty-six".