734357568 has 112 divisors (see below), whose sum is σ = 2351251584. Its totient is φ = 197468160.

The previous prime is 734357557. The next prime is 734357579. The reversal of 734357568 is 865753437.

It is an interprime number because it is at equal distance from previous prime (734357557) and next prime (734357579).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-4 number, since 4×734357568⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6778 + ... + 38918.

Almost surely, 2^734357568 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 734357568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175625792).

734357568 is an abundant number, since it is smaller than the sum of its proper divisors (1616894016).

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

734357568 is a wasteful number, since it uses less digits than its factorization.

734357568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32180 (or 32170 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 48.

The square root of 734357568 is about 27099.0326026595. The cubic root of 734357568 is about 902.1993813619.

It can be divided in two parts, 73435 and 7568, that added together give a triangular number (81003 = T₄₀₂).

The spelling of 734357568 in words is "seven hundred thirty-four million, three hundred fifty-seven thousand, five hundred sixty-eight".