3743887680 has 504 divisors, whose sum is σ = 14689131912. Its totient is φ = 869916672.

The previous prime is 3743887669. The next prime is 3743887681. The reversal of 3743887680 is 867883473.

It can be written as a sum of positive squares in 4 ways, for example, as 10188864 + 3733698816 = 3192^2 + 61104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3743887681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13515702 + ... + 13515978.

It is an arithmetic number, because the mean of its divisors is an integer number (29145103).

Almost surely, 2^3743887680 is an apocalyptic number.

3743887680 is a gapful number since it is divisible by the number (30) 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 3743887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344565956).

3743887680 is an abundant number, since it is smaller than the sum of its proper divisors (10945244232).

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

3743887680 is a wasteful number, since it uses less digits than its factorization.

3743887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 3743887680 is about 61187.3163327172. The cubic root of 3743887680 is about 1552.7716873038.

The spelling of 3743887680 in words is "three billion, seven hundred forty-three million, eight hundred eighty-seven thousand, six hundred eighty".