3745451688 has 256 divisors, whose sum is σ = 10939622400. Its totient is φ = 1058365440.

The previous prime is 3745451681. The next prime is 3745451707. The reversal of 3745451688 is 8861545473.

Its product of digits (3225600) is a multiple of the sum of its prime factors (280).

It is a self number, because there is not a number n which added to its sum of digits gives 3745451688.

It is not an unprimeable number, because it can be changed into a prime (3745451681) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 38612856 + ... + 38612952.

It is an arithmetic number, because the mean of its divisors is an integer number (42732900).

Almost surely, 2^3745451688 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 3745451688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5469811200).

3745451688 is an abundant number, since it is smaller than the sum of its proper divisors (7194170712).

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

3745451688 is a wasteful number, since it uses less digits than its factorization.

3745451688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The square root of 3745451688 is about 61200.0954901216. The cubic root of 3745451688 is about 1552.9878805101.

The spelling of 3745451688 in words is "three billion, seven hundred forty-five million, four hundred fifty-one thousand, six hundred eighty-eight".