3359047680 has 408 divisors, whose sum is σ = 12513610512. Its totient is φ = 830472192.

The previous prime is 3359047669. The next prime is 3359047723. The reversal of 3359047680 is 867409533.

It is a tau number, because it is divible by the number of its divisors (408).

It is a super-2 number, since 2×3359047680² = 22566402633026764800, 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 23 ways as a sum of consecutive naturals, for example, 50135007 + ... + 50135073.

It is an arithmetic number, because the mean of its divisors is an integer number (30670614).

Almost surely, 2^3359047680 is an apocalyptic number.

3359047680 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 3359047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256805256).

3359047680 is an abundant number, since it is smaller than the sum of its proper divisors (9154562832).

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

3359047680 is an equidigital number, since it uses as much as digits as its factorization.

3359047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3359047680 is about 57957.2918621980. The cubic root of 3359047680 is about 1497.6329600460.

The spelling of 3359047680 in words is "three billion, three hundred fifty-nine million, forty-seven thousand, six hundred eighty".