734935840 has 96 divisors (see below), whose sum is σ = 1851205104. Its totient is φ = 274759680.

The previous prime is 734935819. The next prime is 734935849. The reversal of 734935840 is 48539437.

734935840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 436475664 + 298460176 = 20892^2 + 17276^2 .

It is not an unprimeable number, because it can be changed into a prime (734935849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426180 + ... + 427900.

Almost surely, 2^734935840 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 734935840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925602552).

734935840 is an abundant number, since it is smaller than the sum of its proper divisors (1116269264).

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

734935840 is a wasteful number, since it uses less digits than its factorization.

734935840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The square root of 734935840 is about 27109.7001090016. The cubic root of 734935840 is about 902.4361324038.

The spelling of 734935840 in words is "seven hundred thirty-four million, nine hundred thirty-five thousand, eight hundred forty".