734688000 has 216 divisors, whose sum is σ = 2644658016. Its totient is φ = 195840000.

The previous prime is 734687977. The next prime is 734688007. The reversal of 734688000 is 886437.

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

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (734688007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286725 + ... + 289275.

Almost surely, 2^734688000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 734688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322329008).

734688000 is an abundant number, since it is smaller than the sum of its proper divisors (1909970016).

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

734688000 is a wasteful number, since it uses less digits than its factorization.

734688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2561 counting only the distinct ones).

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

The square root of 734688000 is about 27105.1286659923. The cubic root of 734688000 is about 902.3346791408.

The spelling of 734688000 in words is "seven hundred thirty-four million, six hundred eighty-eight thousand".