838149312 has 448 divisors, whose sum is σ = 3072384000. Its totient is φ = 198696960.

The previous prime is 838149293. The next prime is 838149331. The reversal of 838149312 is 213941838.

It is an interprime number because it is at equal distance from previous prime (838149293) and next prime (838149331).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9417364 + ... + 9417452.

It is an arithmetic number, because the mean of its divisors is an integer number (6858000).

Almost surely, 2^838149312 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 838149312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536192000).

838149312 is an abundant number, since it is smaller than the sum of its proper divisors (2234234688).

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

838149312 is a wasteful number, since it uses less digits than its factorization.

838149312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 838149312 is about 28950.8084861200. The cubic root of 838149312 is about 942.8453516563.

The spelling of 838149312 in words is "eight hundred thirty-eight million, one hundred forty-nine thousand, three hundred twelve".