3627390720 has 288 divisors, whose sum is σ = 12289116672. Its totient is φ = 909950976.

The previous prime is 3627390707. The next prime is 3627390727. The reversal of 3627390720 is 270937263.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3627390727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5917134 + ... + 5917746.

It is an arithmetic number, because the mean of its divisors is an integer number (42670544).

Almost surely, 2^3627390720 is an apocalyptic number.

3627390720 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 3627390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144558336).

3627390720 is an abundant number, since it is smaller than the sum of its proper divisors (8661725952).

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

3627390720 is a wasteful number, since it uses less digits than its factorization.

3627390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The square root of 3627390720 is about 60227.8234705522. The cubic root of 3627390720 is about 1536.4960420459.

The spelling of 3627390720 in words is "three billion, six hundred twenty-seven million, three hundred ninety thousand, seven hundred twenty".