1034838144 has 192 divisors, whose sum is σ = 3215735640. Its totient is φ = 318210048.

The previous prime is 1034838139. The next prime is 1034838157. The reversal of 1034838144 is 4418384301.

It can be written as a sum of positive squares in 4 ways, for example, as 1029639744 + 5198400 = 32088^2 + 2280^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×1034838144³ (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1034838099 and 1034838108.

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 23 ways as a sum of consecutive naturals, for example, 1037454 + ... + 1038450.

Almost surely, 2^1034838144 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 1034838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607867820).

1034838144 is an abundant number, since it is smaller than the sum of its proper divisors (2180897496).

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

1034838144 is a wasteful number, since it uses less digits than its factorization.

1034838144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1034838144 is about 32168.9002609663. The cubic root of 1034838144 is about 1011.4804104701.

The spelling of 1034838144 in words is "one billion, thirty-four million, eight hundred thirty-eight thousand, one hundred forty-four".