1034281872 has 280 divisors, whose sum is σ = 3415406400. Its totient is φ = 300651264.

The previous prime is 1034281849. The next prime is 1034281873. The reversal of 1034281872 is 2781824301.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1034281873) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2880829 + ... + 2881187.

It is an arithmetic number, because the mean of its divisors is an integer number (12197880).

Almost surely, 2^1034281872 is an apocalyptic number.

1034281872 is a gapful number since it is divisible by the number (12) 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 1034281872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707703200).

1034281872 is an abundant number, since it is smaller than the sum of its proper divisors (2381124528).

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

1034281872 is a wasteful number, since it uses less digits than its factorization.

1034281872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1034281872 is about 32160.2529840796. The cubic root of 1034281872 is about 1011.2991392628.

The spelling of 1034281872 in words is "one billion, thirty-four million, two hundred eighty-one thousand, eight hundred seventy-two".