3408278976 has 252 divisors, whose sum is σ = 10613011032. Its totient is φ = 1044845568.

The previous prime is 3408278963. The next prime is 3408278987. The reversal of 3408278976 is 6798728043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7693411 + ... + 7693853.

Almost surely, 2^3408278976 is an apocalyptic number.

3408278976 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 3408278976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306505516).

3408278976 is an abundant number, since it is smaller than the sum of its proper divisors (7204732056).

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

3408278976 is a wasteful number, since it uses less digits than its factorization.

3408278976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 3408278976 is about 58380.4674184782. The cubic root of 3408278976 is about 1504.9141021530.

The spelling of 3408278976 in words is "three billion, four hundred eight million, two hundred seventy-eight thousand, nine hundred seventy-six".