3734716553568 has 1152 divisors, whose sum is σ = 14749140317184. Its totient is φ = 865139097600.

The previous prime is 3734716553549. The next prime is 3734716553587. The reversal of 3734716553568 is 8653556174373.

3734716553568 is a `hidden beast` number, since 3 + 7 + 3 + 4 + 7 + 1 + 65 + 5 + 3 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (3734716553549) and next prime (3734716553587).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 1264717980 + ... + 1264720932.

It is an arithmetic number, because the mean of its divisors is an integer number (12803073192).

Almost surely, 2^{3734716553568} 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 3734716553568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7374570158592).

3734716553568 is an abundant number, since it is smaller than the sum of its proper divisors (11014423763616).

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

3734716553568 is a wasteful number, since it uses less digits than its factorization.

3734716553568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3137 counting only the distinct ones).

The product of its digits is 190512000, while the sum is 63.

The spelling of 3734716553568 in words is "three trillion, seven hundred thirty-four billion, seven hundred sixteen million, five hundred fifty-three thousand, five hundred sixty-eight".