3405979280 has 160 divisors (see below), whose sum is σ = 8899787520. Its totient is φ = 1201674240.

The previous prime is 3405979271. The next prime is 3405979289. The reversal of 3405979280 is 829795043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3405979271) and next prime (3405979289).

It is not an unprimeable number, because it can be changed into a prime (3405979289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4803566 + ... + 4804274.

It is an arithmetic number, because the mean of its divisors is an integer number (55623672).

Almost surely, 2^3405979280 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 3405979280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449893760).

3405979280 is an abundant number, since it is smaller than the sum of its proper divisors (5493808240).

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

3405979280 is a wasteful number, since it uses less digits than its factorization.

3405979280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 3405979280 is about 58360.7683294180. The cubic root of 3405979280 is about 1504.5755516562.

The spelling of 3405979280 in words is "three billion, four hundred five million, nine hundred seventy-nine thousand, two hundred eighty".