3364500720 has 320 divisors, whose sum is σ = 12699187200. Its totient is φ = 735178752.

The previous prime is 3364500707. The next prime is 3364500721. The reversal of 3364500720 is 270054633.

It is a super-2 number, since 2×3364500720² = 22639730189761036800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364500721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1892472 + ... + 1894248.

It is an arithmetic number, because the mean of its divisors is an integer number (39684960).

Almost surely, 2^3364500720 is an apocalyptic number.

3364500720 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 3364500720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349593600).

3364500720 is an abundant number, since it is smaller than the sum of its proper divisors (9334686480).

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

3364500720 is a wasteful number, since it uses less digits than its factorization.

3364500720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 3364500720 is about 58004.3163911101. The cubic root of 3364500720 is about 1498.4429353702.

The spelling of 3364500720 in words is "three billion, three hundred sixty-four million, five hundred thousand, seven hundred twenty".