1034145984 has 112 divisors (see below), whose sum is σ = 2896819200. Its totient is φ = 324688896.

The previous prime is 1034145979. The next prime is 1034146039. The reversal of 1034145984 is 4895414301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717937 + ... + 719375.

Almost surely, 2^1034145984 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 1034145984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448409600).

1034145984 is an abundant number, since it is smaller than the sum of its proper divisors (1862673216).

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

1034145984 is a wasteful number, since it uses less digits than its factorization.

1034145984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1034145984 is about 32158.1402447343. The cubic root of 1034145984 is about 1011.2548478435.

The spelling of 1034145984 in words is "one billion, thirty-four million, one hundred forty-five thousand, nine hundred eighty-four".