3223079939100 has 288 divisors, whose sum is σ = 10819857484800. Its totient is φ = 725514854400.

The previous prime is 3223079939087. The next prime is 3223079939113. The reversal of 3223079939100 is 19399703223.

It is an interprime number because it is at equal distance from previous prime (3223079939087) and next prime (3223079939113).

It is a self number, because there is not a number n which added to its sum of digits gives 3223079939100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138502266 + ... + 138525534.

It is an arithmetic number, because the mean of its divisors is an integer number (37568949600).

Almost surely, 2^{3223079939100} is an apocalyptic number.

3223079939100 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 3223079939100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5409928742400).

3223079939100 is an abundant number, since it is smaller than the sum of its proper divisors (7596777545700).

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

3223079939100 is a wasteful number, since it uses less digits than its factorization.

3223079939100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24293 (or 24286 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 48.

The spelling of 3223079939100 in words is "three trillion, two hundred twenty-three billion, seventy-nine million, nine hundred thirty-nine thousand, one hundred".