3409515648 has 864 divisors, whose sum is σ = 13922204400. Its totient is φ = 789626880.

The previous prime is 3409515617. The next prime is 3409515661. The reversal of 3409515648 is 8465159043.

3409515648 is a `hidden beast` number, since 34 + 0 + 9 + 51 + 564 + 8 = 666.

It is a super-3 number, since 3×3409515648³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 179448183 + ... + 179448201.

Almost surely, 2^3409515648 is an apocalyptic number.

3409515648 is a gapful number since it is divisible by the number (38) 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 3409515648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6961102200).

3409515648 is an abundant number, since it is smaller than the sum of its proper divisors (10512688752).

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

3409515648 is a wasteful number, since it uses less digits than its factorization.

3409515648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3409515648 is about 58391.0579455451. The cubic root of 3409515648 is about 1505.0960962617.

The spelling of 3409515648 in words is "three billion, four hundred nine million, five hundred fifteen thousand, six hundred forty-eight".