3023638100 has 216 divisors, whose sum is σ = 7908243840. Its totient is φ = 1000097280.

The previous prime is 3023638073. The next prime is 3023638147. The reversal of 3023638100 is 18363203.

It is a super-4 number, since 4×3023638100⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3023638100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28258247 + ... + 28258353.

It is an arithmetic number, because the mean of its divisors is an integer number (36612240).

Almost surely, 2^3023638100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3023638100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954121920).

3023638100 is an abundant number, since it is smaller than the sum of its proper divisors (4884605740).

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

3023638100 is a wasteful number, since it uses less digits than its factorization.

3023638100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 3023638100 is about 54987.6176970779. The cubic root of 3023638100 is about 1446.0276690023.

The spelling of 3023638100 in words is "three billion, twenty-three million, six hundred thirty-eight thousand, one hundred".