3665977076736 has 440 divisors, whose sum is σ = 12169841169024. Its totient is φ = 1091596124160.

The previous prime is 3665977076633. The next prime is 3665977076747. The reversal of 3665977076736 is 6376707795663.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33371596 + ... + 33481268.

Almost surely, 2^{3665977076736} is an apocalyptic number.

3665977076736 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 3665977076736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6084920584512).

3665977076736 is an abundant number, since it is smaller than the sum of its proper divisors (8503864092288).

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

3665977076736 is a wasteful number, since it uses less digits than its factorization.

3665977076736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109749 (or 109722 counting only the distinct ones).

The product of its (nonzero) digits is 1260236880, while the sum is 72.

The spelling of 3665977076736 in words is "three trillion, six hundred sixty-five billion, nine hundred seventy-seven million, seventy-six thousand, seven hundred thirty-six".