3408395760 has 960 divisors, whose sum is σ = 15579002880. Its totient is φ = 677445120.

The previous prime is 3408395717. The next prime is 3408395777. The reversal of 3408395760 is 675938043.

3408395760 is a `hidden beast` number, since 3 + 40 + 8 + 39 + 576 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 148191109 + ... + 148191131.

It is an arithmetic number, because the mean of its divisors is an integer number (16228128).

Almost surely, 2^3408395760 is an apocalyptic number.

3408395760 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 3408395760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7789501440).

3408395760 is an abundant number, since it is smaller than the sum of its proper divisors (12170607120).

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

3408395760 is a wasteful number, since it uses less digits than its factorization.

3408395760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3408395760 is about 58381.4676074523. The cubic root of 3408395760 is about 1504.9312904839.

The spelling of 3408395760 in words is "three billion, four hundred eight million, three hundred ninety-five thousand, seven hundred sixty".