3629219888 has 160 divisors (see below), whose sum is σ = 8589033600. Its totient is φ = 1483453440.

The previous prime is 3629219873. The next prime is 3629219917. The reversal of 3629219888 is 8889129263.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12386270 + ... + 12386562.

It is an arithmetic number, because the mean of its divisors is an integer number (53681460).

Almost surely, 2^3629219888 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 3629219888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294516800).

3629219888 is an abundant number, since it is smaller than the sum of its proper divisors (4959813712).

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

3629219888 is a wasteful number, since it uses less digits than its factorization.

3629219888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 400 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 56.

The square root of 3629219888 is about 60243.0069634642. The cubic root of 3629219888 is about 1536.7542659619.

The spelling of 3629219888 in words is "three billion, six hundred twenty-nine million, two hundred nineteen thousand, eight hundred eighty-eight".