3322142100 has 90 divisors (see below), whose sum is σ = 10769098494. Its totient is φ = 885902400.

The previous prime is 3322142041. The next prime is 3322142113. The reversal of 3322142100 is 12412233.

It can be written as a sum of positive squares in 3 ways, for example, as 99082116 + 3223059984 = 9954^2 + 56772^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×3322142100² = 22073256265184820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 196971 + ... + 213170.

Almost surely, 2^3322142100 is an apocalyptic number.

3322142100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3322142100 is an abundant number, since it is smaller than the sum of its proper divisors (7446956394).

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

3322142100 is a wasteful number, since it uses less digits than its factorization.

3322142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410167 (or 410151 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3322142100 is about 57638.0265102823. The cubic root of 3322142100 is about 1492.1279595899.

Adding to 3322142100 its reverse (12412233), we get a palindrome (3334554333).

The spelling of 3322142100 in words is "three billion, three hundred twenty-two million, one hundred forty-two thousand, one hundred".