3407878656 has 720 divisors, whose sum is σ = 13074725664. Its totient is φ = 877879296.

The previous prime is 3407878609. The next prime is 3407878709. The reversal of 3407878656 is 6568787043.

It is a super-2 number, since 2×3407878656² = 23227273868040732672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79252971 + ... + 79253013.

Almost surely, 2^3407878656 is an apocalyptic number.

3407878656 is a gapful number since it is divisible by the number (36) 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 3407878656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6537362832).

3407878656 is an abundant number, since it is smaller than the sum of its proper divisors (9666847008).

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

3407878656 is an equidigital number, since it uses as much as digits as its factorization.

3407878656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 3407878656 is about 58377.0387738193. The cubic root of 3407878656 is about 1504.8551798634.

The spelling of 3407878656 in words is "three billion, four hundred seven million, eight hundred seventy-eight thousand, six hundred fifty-six".