1034096364 has 72 divisors (see below), whose sum is σ = 3015387648. Its totient is φ = 292687200.

The previous prime is 1034096351. The next prime is 1034096381. The reversal of 1034096364 is 4636904301.

1034096364 is a `hidden beast` number, since 10 + 3 + 4 + 0 + 9 + 636 + 4 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 7789 + ... + 46139.

It is an arithmetic number, because the mean of its divisors is an integer number (41880384).

Almost surely, 2^1034096364 is an apocalyptic number.

1034096364 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 1034096364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507693824).

1034096364 is an abundant number, since it is smaller than the sum of its proper divisors (1981291284).

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

1034096364 is a wasteful number, since it uses less digits than its factorization.

1034096364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38475 (or 38470 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 1034096364 is about 32157.3687356413. The cubic root of 1034096364 is about 1011.2386737027.

The spelling of 1034096364 in words is "one billion, thirty-four million, ninety-six thousand, three hundred sixty-four".