3766916837376 has 1560 divisors, whose sum is σ = 14302109957616. Its totient is φ = 946809077760.

The previous prime is 3766916837339. The next prime is 3766916837389. The reversal of 3766916837376 is 6737386196673.

It is a happy number.

3766916837376 is a `hidden beast` number, since 3 + 7 + 6 + 69 + 168 + 37 + 376 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51601600476 + ... + 51601600548.

Almost surely, 2^{3766916837376} is an apocalyptic number.

3766916837376 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 3766916837376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7151054978808).

3766916837376 is an abundant number, since it is smaller than the sum of its proper divisors (10535193120240).

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

3766916837376 is an equidigital number, since it uses as much as digits as its factorization.

3766916837376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 149 counting only the distinct ones).

The product of its digits is 864162432, while the sum is 72.

The spelling of 3766916837376 in words is "three trillion, seven hundred sixty-six billion, nine hundred sixteen million, eight hundred thirty-seven thousand, three hundred seventy-six".