3629946880 has 192 divisors, whose sum is σ = 10083528000. Its totient is φ = 1228406784.

The previous prime is 3629946851. The next prime is 3629946883. The reversal of 3629946880 is 886499263.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3629946883) 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, 6379236 + ... + 6379804.

It is an arithmetic number, because the mean of its divisors is an integer number (52518375).

Almost surely, 2^3629946880 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 3629946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041764000).

3629946880 is an abundant number, since it is smaller than the sum of its proper divisors (6453581120).

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

3629946880 is an equidigital number, since it uses as much as digits as its factorization.

3629946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The square root of 3629946880 is about 60249.0404902850. The cubic root of 3629946880 is about 1536.8568714347.

The spelling of 3629946880 in words is "three billion, six hundred twenty-nine million, nine hundred forty-six thousand, eight hundred eighty".