3746886336 has 280 divisors, whose sum is σ = 11832590000. Its totient is φ = 1169012736.

The previous prime is 3746886329. The next prime is 3746886361. The reversal of 3746886336 is 6336886473.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10735890 + ... + 10736238.

It is an arithmetic number, because the mean of its divisors is an integer number (42259250).

Almost surely, 2^3746886336 is an apocalyptic number.

3746886336 is a gapful number since it is divisible by the number (36) 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 3746886336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5916295000).

3746886336 is an abundant number, since it is smaller than the sum of its proper divisors (8085703664).

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

3746886336 is a wasteful number, since it uses less digits than its factorization.

3746886336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 482 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The square root of 3746886336 is about 61211.8153300488. The cubic root of 3746886336 is about 1553.1861393349.

The spelling of 3746886336 in words is "three billion, seven hundred forty-six million, eight hundred eighty-six thousand, three hundred thirty-six".