3409973280 has 576 divisors, whose sum is σ = 14054197248. Its totient is φ = 736542720.

The previous prime is 3409973269. The next prime is 3409973351. The reversal of 3409973280 is 823799043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15291249 + ... + 15291471.

It is an arithmetic number, because the mean of its divisors is an integer number (24399648).

Almost surely, 2^3409973280 is an apocalyptic number.

3409973280 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 3409973280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7027098624).

3409973280 is an abundant number, since it is smaller than the sum of its proper divisors (10644223968).

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

3409973280 is a wasteful number, since it uses less digits than its factorization.

3409973280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3409973280 is about 58394.9764962706. The cubic root of 3409973280 is about 1505.1634322505.

The spelling of 3409973280 in words is "three billion, four hundred nine million, nine hundred seventy-three thousand, two hundred eighty".