3338640480 has 576 divisors, whose sum is σ = 13348177920. Its totient is φ = 696729600.

The previous prime is 3338640451. The next prime is 3338640497. The reversal of 3338640480 is 840468333.

It is a super-2 number, since 2×3338640480² = 22293040509389260800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13853160 + ... + 13853400.

It is an arithmetic number, because the mean of its divisors is an integer number (23173920).

Almost surely, 2^3338640480 is an apocalyptic number.

3338640480 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 3338640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674088960).

3338640480 is an abundant number, since it is smaller than the sum of its proper divisors (10009537440).

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

3338640480 is a wasteful number, since it uses less digits than its factorization.

3338640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 3338640480 is about 57780.9698776336. The cubic root of 3338640480 is about 1494.5939442250.

The spelling of 3338640480 in words is "three billion, three hundred thirty-eight million, six hundred forty thousand, four hundred eighty".