1034732880 has 480 divisors, whose sum is σ = 3977745408. Its totient is φ = 248832000.

The previous prime is 1034732857. The next prime is 1034732891. The reversal of 1034732880 is 882374301.

1034732880 is a `hidden beast` number, since 103 + 473 + 2 + 8 + 80 = 666.

1034732880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10244830 + ... + 10244930.

Almost surely, 2^1034732880 is an apocalyptic number.

1034732880 is a gapful number since it is divisible by the number (10) 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 1034732880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988872704).

1034732880 is an abundant number, since it is smaller than the sum of its proper divisors (2943012528).

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

1034732880 is a wasteful number, since it uses less digits than its factorization.

1034732880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1034732880 is about 32167.2641049872. The cubic root of 1034732880 is about 1011.4461132920.

The spelling of 1034732880 in words is "one billion, thirty-four million, seven hundred thirty-two thousand, eight hundred eighty".