735433216 has 80 divisors (see below), whose sum is σ = 1691338176. Its totient is φ = 312938496.

The previous prime is 735433213. The next prime is 735433219. The reversal of 735433216 is 612334537.

It is an interprime number because it is at equal distance from previous prime (735433213) and next prime (735433219).

It is a super-2 number, since 2×735433216² = 1081724030392205312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (735433213) 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 7 ways as a sum of consecutive naturals, for example, 562035 + ... + 563341.

Almost surely, 2^735433216 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 735433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845669088).

735433216 is an abundant number, since it is smaller than the sum of its proper divisors (955904960).

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

735433216 is a wasteful number, since it uses less digits than its factorization.

735433216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1473 counting only the distinct ones).

The product of its digits is 45360, while the sum is 34.

The square root of 735433216 is about 27118.8719529408. The cubic root of 735433216 is about 902.6396643915.

The spelling of 735433216 in words is "seven hundred thirty-five million, four hundred thirty-three thousand, two hundred sixteen".