3746807064 has 768 divisors, whose sum is σ = 14841446400. Its totient is φ = 849139200.

The previous prime is 3746807003. The next prime is 3746807131. The reversal of 3746807064 is 4607086473.

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 191 ways as a sum of consecutive naturals, for example, 87135027 + ... + 87135069.

It is an arithmetic number, because the mean of its divisors is an integer number (19324800).

Almost surely, 2^3746807064 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 3746807064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7420723200).

3746807064 is an abundant number, since it is smaller than the sum of its proper divisors (11094639336).

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

3746807064 is a wasteful number, since it uses less digits than its factorization.

3746807064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 3746807064 is about 61211.1678045763. The cubic root of 3746807064 is about 1553.1751857920.

The spelling of 3746807064 in words is "three billion, seven hundred forty-six million, eight hundred seven thousand, sixty-four".