3409726320 has 1280 divisors, whose sum is σ = 16798924800. Its totient is φ = 612126720.

The previous prime is 3409726303. The next prime is 3409726387. The reversal of 3409726320 is 236279043.

It is a happy number.

3409726320 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 255 ways as a sum of consecutive naturals, for example, 41080999 + ... + 41081081.

It is an arithmetic number, because the mean of its divisors is an integer number (13124160).

Almost surely, 2^3409726320 is an apocalyptic number.

3409726320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3409726320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8399462400).

3409726320 is an abundant number, since it is smaller than the sum of its proper divisors (13389198480).

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

3409726320 is a wasteful number, since it uses less digits than its factorization.

3409726320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3409726320 is about 58392.8618925293. The cubic root of 3409726320 is about 1505.1270952957.

The spelling of 3409726320 in words is "three billion, four hundred nine million, seven hundred twenty-six thousand, three hundred twenty".