3384382500 has 240 divisors, whose sum is σ = 11117691200. Its totient is φ = 901044000.

The previous prime is 3384382493. The next prime is 3384382513. The reversal of 3384382500 is 52834833.

3384382500 is a `hidden beast` number, since 3 + 38 + 43 + 82 + 500 = 666.

It is a super-2 number, since 2×3384382500² = 22908089812612500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5467191 + ... + 5467809.

Almost surely, 2^3384382500 is an apocalyptic number.

3384382500 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 3384382500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5558845600).

3384382500 is an abundant number, since it is smaller than the sum of its proper divisors (7733308700).

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

3384382500 is an frugal number, since it uses more digits than its factorization.

3384382500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3384382500 is about 58175.4458513212. The cubic root of 3384382500 is about 1501.3887139190.

The spelling of 3384382500 in words is "three billion, three hundred eighty-four million, three hundred eighty-two thousand, five hundred".