734661312 has 336 divisors, whose sum is σ = 2557393920. Its totient is φ = 183859200.

The previous prime is 734661299. The next prime is 734661313. The reversal of 734661312 is 213166437.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×734661312² = 1079454486699122688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (734661313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3208014 + ... + 3208242.

Almost surely, 2^734661312 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 734661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278696960).

734661312 is an abundant number, since it is smaller than the sum of its proper divisors (1822732608).

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

734661312 is a wasteful number, since it uses less digits than its factorization.

734661312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 283 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 734661312 is about 27104.6363561661. The cubic root of 734661312 is about 902.3237530518.

The spelling of 734661312 in words is "seven hundred thirty-four million, six hundred sixty-one thousand, three hundred twelve".