1938134016 has 264 divisors, whose sum is σ = 6890758784. Its totient is φ = 510935040.

The previous prime is 1938133999. The next prime is 1938134021. The reversal of 1938134016 is 6104318391.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 837501 + ... + 839811.

Almost surely, 2^1938134016 is an apocalyptic number.

1938134016 is a gapful number since it is divisible by the number (16) 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 1938134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445379392).

1938134016 is an abundant number, since it is smaller than the sum of its proper divisors (4952624768).

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

1938134016 is a wasteful number, since it uses less digits than its factorization.

1938134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1938134016 is about 44024.2435028701. The cubic root of 1938134016 is about 1246.7937061892.

The spelling of 1938134016 in words is "one billion, nine hundred thirty-eight million, one hundred thirty-four thousand, sixteen".