1036344960 has 192 divisors, whose sum is σ = 4090020480. Its totient is φ = 236869632.

The previous prime is 1036344929. The next prime is 1036344961. The reversal of 1036344960 is 694436301.

1036344960 is a `hidden beast` number, since 10 + 3 + 634 + 4 + 9 + 6 + 0 = 666.

1036344960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×1036344960³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (1036344961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27469 + ... + 53171.

It is an arithmetic number, because the mean of its divisors is an integer number (21302190).

Almost surely, 2^1036344960 is an apocalyptic number.

1036344960 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 1036344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045010240).

1036344960 is an abundant number, since it is smaller than the sum of its proper divisors (3053675520).

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

1036344960 is a wasteful number, since it uses less digits than its factorization.

1036344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25735 (or 25720 counting only the distinct ones).

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

The square root of 1036344960 is about 32192.3121257234. The cubic root of 1036344960 is about 1011.9711074047.

The spelling of 1036344960 in words is "one billion, thirty-six million, three hundred forty-four thousand, nine hundred sixty".