3405860640 has 864 divisors, whose sum is σ = 15058068480. Its totient is φ = 694407168.

The previous prime is 3405860617. The next prime is 3405860651. The reversal of 3405860640 is 460685043.

3405860640 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 8 + 6 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3405860595 and 3405860604.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43112121 + ... + 43112199.

It is an arithmetic number, because the mean of its divisors is an integer number (17428320).

Almost surely, 2^3405860640 is an apocalyptic number.

3405860640 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 3405860640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529034240).

3405860640 is an abundant number, since it is smaller than the sum of its proper divisors (11652207840).

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

3405860640 is a wasteful number, since it uses less digits than its factorization.

3405860640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3405860640 is about 58359.7518843252. The cubic root of 3405860640 is about 1504.5580818968.

The spelling of 3405860640 in words is "three billion, four hundred five million, eight hundred sixty thousand, six hundred forty".