3634151680 has 144 divisors (see below), whose sum is σ = 8941927680. Its totient is φ = 1414692864.

The previous prime is 3634151567. The next prime is 3634151683. The reversal of 3634151680 is 861514363.

It is not an unprimeable number, because it can be changed into a prime (3634151683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8392744 + ... + 8393176.

It is an arithmetic number, because the mean of its divisors is an integer number (62096720).

Almost surely, 2^3634151680 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 3634151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470963840).

3634151680 is an abundant number, since it is smaller than the sum of its proper divisors (5307776000).

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

3634151680 is an equidigital number, since it uses as much as digits as its factorization.

3634151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 3634151680 is about 60283.9255523394. The cubic root of 3634151680 is about 1537.4500557068.

The spelling of 3634151680 in words is "three billion, six hundred thirty-four million, one hundred fifty-one thousand, six hundred eighty".