3679821900 has 108 divisors (see below), whose sum is σ = 11961468792. Its totient is φ = 981279360.

The previous prime is 3679821883. The next prime is 3679821967. The reversal of 3679821900 is 91289763.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×3679821900² = 27082178431439220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51417 + ... + 100016.

Almost surely, 2^3679821900 is an apocalyptic number.

3679821900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3679821900 is an abundant number, since it is smaller than the sum of its proper divisors (8281646892).

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

3679821900 is a wasteful number, since it uses less digits than its factorization.

3679821900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151462 (or 151443 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 3679821900 is about 60661.5355888721. The cubic root of 3679821900 is about 1543.8636190804.

The spelling of 3679821900 in words is "three billion, six hundred seventy-nine million, eight hundred twenty-one thousand, nine hundred".