3405816960 has 512 divisors, whose sum is σ = 13563486720. Its totient is φ = 707788800.

The previous prime is 3405816917. The next prime is 3405816991. The reversal of 3405816960 is 696185043.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17646624 + ... + 17646816.

It is an arithmetic number, because the mean of its divisors is an integer number (26491185).

Almost surely, 2^3405816960 is an apocalyptic number.

3405816960 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 3405816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781743360).

3405816960 is an abundant number, since it is smaller than the sum of its proper divisors (10157669760).

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

3405816960 is a wasteful number, since it uses less digits than its factorization.

3405816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 3405816960 is about 58359.3776526104. The cubic root of 3405816960 is about 1504.5516499074.

The spelling of 3405816960 in words is "three billion, four hundred five million, eight hundred sixteen thousand, nine hundred sixty".