2735346432 has 144 divisors (see below), whose sum is σ = 8960241920. Its totient is φ = 721391616.

The previous prime is 2735346421. The next prime is 2735346437. The reversal of 2735346432 is 2346435372.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2735346437) 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, 50319 + ... + 89457.

Almost surely, 2^2735346432 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 2735346432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480120960).

2735346432 is an abundant number, since it is smaller than the sum of its proper divisors (6224895488).

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

2735346432 is a wasteful number, since it uses less digits than its factorization.

2735346432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39178 (or 39164 counting only the distinct ones).

The product of its digits is 362880, while the sum is 39.

The square root of 2735346432 is about 52300.5395000855. The cubic root of 2735346432 is about 1398.5267549837.

The spelling of 2735346432 in words is "two billion, seven hundred thirty-five million, three hundred forty-six thousand, four hundred thirty-two".