1034087376 has 160 divisors (see below), whose sum is σ = 3149798400. Its totient is φ = 292193664.

The previous prime is 1034087347. The next prime is 1034087401. The reversal of 1034087376 is 6737804301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1761355 + ... + 1761941.

It is an arithmetic number, because the mean of its divisors is an integer number (19686240).

Almost surely, 2^1034087376 is an apocalyptic number.

1034087376 is a gapful number since it is divisible by the number (16) 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 1034087376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574899200).

1034087376 is an abundant number, since it is smaller than the sum of its proper divisors (2115711024).

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

1034087376 is a wasteful number, since it uses less digits than its factorization.

1034087376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 1034087376 is about 32157.2289850976. The cubic root of 1034087376 is about 1011.2357439179.

The spelling of 1034087376 in words is "one billion, thirty-four million, eighty-seven thousand, three hundred seventy-six".