9735405420 has 96 divisors (see below), whose sum is σ = 29727774720. Its totient is φ = 2366058240.

The previous prime is 9735405401. The next prime is 9735405443. The reversal of 9735405420 is 245045379.

9735405420 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 (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17376 + ... + 140615.

It is an arithmetic number, because the mean of its divisors is an integer number (309664320).

Almost surely, 2^9735405420 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 9735405420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14863887360).

9735405420 is an abundant number, since it is smaller than the sum of its proper divisors (19992369300).

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

9735405420 is a wasteful number, since it uses less digits than its factorization.

9735405420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158095 (or 158093 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 9735405420 is about 98668.1580855749. The cubic root of 9735405420 is about 2135.2628656554.

The spelling of 9735405420 in words is "nine billion, seven hundred thirty-five million, four hundred five thousand, four hundred twenty".