3734646000 has 160 divisors (see below), whose sum is σ = 12194457600. Its totient is φ = 983174400.

The previous prime is 3734645987. The next prime is 3734646001. The reversal of 3734646000 is 6464373.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3734646001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 470061 + ... + 477939.

It is an arithmetic number, because the mean of its divisors is an integer number (76215360).

Almost surely, 2^3734646000 is an apocalyptic number.

3734646000 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 3734646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097228800).

3734646000 is an abundant number, since it is smaller than the sum of its proper divisors (8459811600).

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

3734646000 is a wasteful number, since it uses less digits than its factorization.

3734646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7984 (or 7968 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 3734646000 is about 61111.7500976694. The cubic root of 3734646000 is about 1551.4929770258.

The spelling of 3734646000 in words is "three billion, seven hundred thirty-four million, six hundred forty-six thousand".