3387396000 has 384 divisors, whose sum is σ = 11887948800. Its totient is φ = 840729600.

The previous prime is 3387395989. The next prime is 3387396029. The reversal of 3387396000 is 6937833.

It is a super-2 number, since 2×3387396000² = 22948903321632000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3387396000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18923911 + ... + 18924089.

It is an arithmetic number, because the mean of its divisors is an integer number (30958200).

Almost surely, 2^3387396000 is an apocalyptic number.

3387396000 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 3387396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943974400).

3387396000 is an abundant number, since it is smaller than the sum of its proper divisors (8500552800).

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

3387396000 is a wasteful number, since it uses less digits than its factorization.

3387396000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 3387396000 is about 58201.3401907551. The cubic root of 3387396000 is about 1501.8342006689.

The spelling of 3387396000 in words is "three billion, three hundred eighty-seven million, three hundred ninety-six thousand".