3220400100 has 144 divisors (see below), whose sum is σ = 9891116928. Its totient is φ = 806184960.

The previous prime is 3220400093. The next prime is 3220400107. The reversal of 3220400100 is 10040223.

It is an interprime number because it is at equal distance from previous prime (3220400093) and next prime (3220400107).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3220400107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3329817 + ... + 3330783.

It is an arithmetic number, because the mean of its divisors is an integer number (68688312).

Almost surely, 2^3220400100 is an apocalyptic number.

3220400100 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 3220400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945558464).

3220400100 is an abundant number, since it is smaller than the sum of its proper divisors (6670716828).

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

3220400100 is a wasteful number, since it uses less digits than its factorization.

3220400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3220400100 is about 56748.5691449573. The cubic root of 3220400100 is about 1476.7374107009.

Adding to 3220400100 its reverse (10040223), we get a palindrome (3230440323).

The spelling of 3220400100 in words is "three billion, two hundred twenty million, four hundred thousand, one hundred".