3642437100 has 72 divisors (see below), whose sum is σ = 10608709888. Its totient is φ = 964872000.

The previous prime is 3642437081. The next prime is 3642437107. The reversal of 3642437100 is 17342463.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3642437107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5097 + ... + 85503.

Almost surely, 2^3642437100 is an apocalyptic number.

3642437100 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 3642437100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5304354944).

3642437100 is an abundant number, since it is smaller than the sum of its proper divisors (6966272788).

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

3642437100 is a wasteful number, since it uses less digits than its factorization.

3642437100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80575 (or 80568 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3642437100 is about 60352.6064060203. The cubic root of 3642437100 is about 1538.6175680661.

Adding to 3642437100 its reverse (17342463), we get a palindrome (3659779563).

The spelling of 3642437100 in words is "three billion, six hundred forty-two million, four hundred thirty-seven thousand, one hundred".