3380057408 has 112 divisors (see below), whose sum is σ = 8278026624. Its totient is φ = 1333463040.

The previous prime is 3380057407. The next prime is 3380057449. The reversal of 3380057408 is 8047500833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3380057408² = 22849576162751356928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380057407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3185198 + ... + 3186258.

It is an arithmetic number, because the mean of its divisors is an integer number (73910952).

Almost surely, 2^3380057408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3380057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139013312).

3380057408 is an abundant number, since it is smaller than the sum of its proper divisors (4897969216).

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

3380057408 is a wasteful number, since it uses less digits than its factorization.

3380057408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 3380057408 is about 58138.2611367076. The cubic root of 3380057408 is about 1500.7488716949.

The spelling of 3380057408 in words is "three billion, three hundred eighty million, fifty-seven thousand, four hundred eight".