3677034433716 has 240 divisors, whose sum is σ = 11353274190720. Its totient is φ = 1015884011520.

The previous prime is 3677034433711. The next prime is 3677034433741. The reversal of 3677034433716 is 6173344307763.

3677034433716 is a `hidden beast` number, since 3 + 67 + 70 + 3 + 443 + 3 + 71 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3677034433711) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 10332675 + ... + 10682613.

It is an arithmetic number, because the mean of its divisors is an integer number (47305309128).

Almost surely, 2^{3677034433716} is an apocalyptic number.

3677034433716 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 3677034433716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5676637095360).

3677034433716 is an abundant number, since it is smaller than the sum of its proper divisors (7676239757004).

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

3677034433716 is a wasteful number, since it uses less digits than its factorization.

3677034433716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350116 (or 350105 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 54.

The spelling of 3677034433716 in words is "three trillion, six hundred seventy-seven billion, thirty-four million, four hundred thirty-three thousand, seven hundred sixteen".