735408216 has 96 divisors (see below), whose sum is σ = 2082225600. Its totient is φ = 234178560.

The previous prime is 735408209. The next prime is 735408229. The reversal of 735408216 is 612804537.

735408216 is a `hidden beast` number, since 7 + 35 + 408 + 216 = 666.

735408216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200721 + ... + 204351.

It is an arithmetic number, because the mean of its divisors is an integer number (21689850).

Almost surely, 2^735408216 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 735408216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041112800).

735408216 is an abundant number, since it is smaller than the sum of its proper divisors (1346817384).

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

735408216 is a wasteful number, since it uses less digits than its factorization.

735408216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 735408216 is about 27118.4110153969. The cubic root of 735408216 is about 902.6294362943.

The spelling of 735408216 in words is "seven hundred thirty-five million, four hundred eight thousand, two hundred sixteen".