1938914100 has 108 divisors (see below), whose sum is σ = 6090922656. Its totient is φ = 515895360.

The previous prime is 1938914093. The next prime is 1938914129. The reversal of 1938914100 is 14198391.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 450559 + ... + 454841.

It is an arithmetic number, because the mean of its divisors is an integer number (56397432).

Almost surely, 2^1938914100 is an apocalyptic number.

1938914100 is a gapful number since it is divisible by the number (10) 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 1938914100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045461328).

1938914100 is an abundant number, since it is smaller than the sum of its proper divisors (4152008556).

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

1938914100 is a wasteful number, since it uses less digits than its factorization.

1938914100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1938914100 is about 44033.1023208676. The cubic root of 1938914100 is about 1246.9609587035.

It can be divided in two parts, 19389 and 14100, that added together give a square (33489 = 183²).

The spelling of 1938914100 in words is "one billion, nine hundred thirty-eight million, nine hundred fourteen thousand, one hundred".