3629988000 has 768 divisors, whose sum is σ = 14624064000. Its totient is φ = 870912000.

The previous prime is 3629987987. The next prime is 3629988007. The reversal of 3629988000 is 8899263.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3629988007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59507970 + ... + 59508030.

It is an arithmetic number, because the mean of its divisors is an integer number (19041750).

Almost surely, 2^3629988000 is an apocalyptic number.

3629988000 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 3629988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312032000).

3629988000 is an abundant number, since it is smaller than the sum of its proper divisors (10994076000).

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

3629988000 is a wasteful number, since it uses less digits than its factorization.

3629988000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3629988000 is about 60249.3817395664. The cubic root of 3629988000 is about 1536.8626745789.

The spelling of 3629988000 in words is "three billion, six hundred twenty-nine million, nine hundred eighty-eight thousand".