1073734400 has 54 divisors (see below), whose sum is σ = 2657676252. Its totient is φ = 429491200.

The previous prime is 1073734391. The next prime is 1073734421. The reversal of 1073734400 is 44373701.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77486 + ... + 90285.

Almost surely, 2^1073734400 is an apocalyptic number.

1073734400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1073734400 is an abundant number, since it is smaller than the sum of its proper divisors (1583941852).

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

1073734400 is an equidigital number, since it uses as much as digits as its factorization.

1073734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167797 (or 167778 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 1073734400 is about 32767.8867185542. The cubic root of 1073734400 is about 1023.9976399685.

The spelling of 1073734400 in words is "one billion, seventy-three million, seven hundred thirty-four thousand, four hundred".