3405975360 has 112 divisors (see below), whose sum is σ = 10861096896. Its totient is φ = 904302592.

The previous prime is 3405975337. The next prime is 3405975403. The reversal of 3405975360 is 635795043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216067 + ... + 231293.

Almost surely, 2^3405975360 is an apocalyptic number.

3405975360 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 3405975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5430548448).

3405975360 is an abundant number, since it is smaller than the sum of its proper divisors (7455121536).

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

3405975360 is a wasteful number, since it uses less digits than its factorization.

3405975360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15480 (or 15470 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The square root of 3405975360 is about 58360.7347452035. The cubic root of 3405975360 is about 1504.5749744421.

The spelling of 3405975360 in words is "three billion, four hundred five million, nine hundred seventy-five thousand, three hundred sixty".