3747345984 has 224 divisors, whose sum is σ = 11665305600. Its totient is φ = 1176353280.

The previous prime is 3747345967. The next prime is 3747346007. The reversal of 3747345984 is 4895437473.

3747345984 is a `hidden beast` number, since 3 + 7 + 47 + 3 + 4 + 598 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3747345984.

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 31 ways as a sum of consecutive naturals, for example, 10210569 + ... + 10210935.

Almost surely, 2^3747345984 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 3747345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832652800).

3747345984 is an abundant number, since it is smaller than the sum of its proper divisors (7917959616).

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

3747345984 is a wasteful number, since it uses less digits than its factorization.

3747345984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 702 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The square root of 3747345984 is about 61215.5697841652. The cubic root of 3747345984 is about 1553.2496489308.

The spelling of 3747345984 in words is "three billion, seven hundred forty-seven million, three hundred forty-five thousand, nine hundred eighty-four".