3736744704 has 864 divisors, whose sum is σ = 15099436800. Its totient is φ = 898007040.

The previous prime is 3736744691. The next prime is 3736744741. The reversal of 3736744704 is 4074476373.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 3736744704.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63334627 + ... + 63334685.

It is an arithmetic number, because the mean of its divisors is an integer number (17476200).

Almost surely, 2^3736744704 is an apocalyptic number.

3736744704 is a gapful number since it is divisible by the number (34) 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 3736744704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549718400).

3736744704 is an abundant number, since it is smaller than the sum of its proper divisors (11362692096).

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

3736744704 is a wasteful number, since it uses less digits than its factorization.

3736744704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The square root of 3736744704 is about 61128.9187210113. The cubic root of 3736744704 is about 1551.7835458218.

The spelling of 3736744704 in words is "three billion, seven hundred thirty-six million, seven hundred forty-four thousand, seven hundred four".