938849100 has 288 divisors, whose sum is σ = 3274123776. Its totient is φ = 203212800.

The previous prime is 938849053. The next prime is 938849141. The reversal of 938849100 is 1948839.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3340960 + ... + 3341240.

Almost surely, 2^938849100 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 938849100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637061888).

938849100 is an abundant number, since it is smaller than the sum of its proper divisors (2335274676).

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

938849100 is a wasteful number, since it uses less digits than its factorization.

938849100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 938849100 is about 30640.6445754654. The cubic root of 938849100 is about 979.1861562038.

The spelling of 938849100 in words is "nine hundred thirty-eight million, eight hundred forty-nine thousand, one hundred".