3642141888 has 448 divisors, whose sum is σ = 13795491840. Its totient is φ = 914457600.

The previous prime is 3642141887. The next prime is 3642141949. The reversal of 3642141888 is 8881412463.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3642141887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4124295 + ... + 4125177.

Almost surely, 2^3642141888 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 3642141888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6897745920).

3642141888 is an abundant number, since it is smaller than the sum of its proper divisors (10153349952).

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

3642141888 is a wasteful number, since it uses less digits than its factorization.

3642141888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 937 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 3642141888 is about 60350.1606294465. The cubic root of 3642141888 is about 1538.5759996849.

It can be divided in two parts, 3642 and 141888, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 3642141888 in words is "three billion, six hundred forty-two million, one hundred forty-one thousand, eight hundred eighty-eight".