1034881344 has 336 divisors, whose sum is σ = 3570597888. Its totient is φ = 280433664.

The previous prime is 1034881333. The next prime is 1034881373. The reversal of 1034881344 is 4431884301.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 1034881299 and 1034881308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8148609 + ... + 8148735.

Almost surely, 2^1034881344 is an apocalyptic number.

1034881344 is a gapful number since it is divisible by the number (14) 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 1034881344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785298944).

1034881344 is an abundant number, since it is smaller than the sum of its proper divisors (2535716544).

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

1034881344 is a wasteful number, since it uses less digits than its factorization.

1034881344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

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

The square root of 1034881344 is about 32169.5717099249. The cubic root of 1034881344 is about 1011.4944852462.

The spelling of 1034881344 in words is "one billion, thirty-four million, eight hundred eighty-one thousand, three hundred forty-four".