3317539680 has 960 divisors, whose sum is σ = 15060608640. Its totient is φ = 668860416.

The previous prime is 3317539661. The next prime is 3317539747. The reversal of 3317539680 is 869357133.

3317539680 is a `hidden beast` number, since 3 + 31 + 7 + 539 + 6 + 80 = 666.

3317539680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3317539680² = 22012139056749004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34201392 + ... + 34201488.

It is an arithmetic number, because the mean of its divisors is an integer number (15688134).

Almost surely, 2^3317539680 is an apocalyptic number.

3317539680 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 3317539680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7530304320).

3317539680 is an abundant number, since it is smaller than the sum of its proper divisors (11743068960).

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

3317539680 is a wasteful number, since it uses less digits than its factorization.

3317539680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3317539680 is about 57598.0874682485. The cubic root of 3317539680 is about 1491.4385877817.

The spelling of 3317539680 in words is "three billion, three hundred seventeen million, five hundred thirty-nine thousand, six hundred eighty".