3386646720 has 224 divisors, whose sum is σ = 11985589440. Its totient is φ = 900218880.

The previous prime is 3386646701. The next prime is 3386646727. The reversal of 3386646720 is 276466833.

It is a super-2 number, since 2×3386646720² = 22938752012173516800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3386646727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5123190 + ... + 5123850.

Almost surely, 2^3386646720 is an apocalyptic number.

3386646720 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 3386646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992794720).

3386646720 is an abundant number, since it is smaller than the sum of its proper divisors (8598942720).

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

3386646720 is a wasteful number, since it uses less digits than its factorization.

3386646720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3386646720 is about 58194.9028695813. The cubic root of 3386646720 is about 1501.7234590342.

The spelling of 3386646720 in words is "three billion, three hundred eighty-six million, six hundred forty-six thousand, seven hundred twenty".