3387852000 has 768 divisors, whose sum is σ = 14089420800. Its totient is φ = 783820800.

The previous prime is 3387851993. The next prime is 3387852031. The reversal of 3387852000 is 2587833.

It is a super-2 number, since 2×3387852000² = 22955082347808000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26675937 + ... + 26676063.

It is an arithmetic number, because the mean of its divisors is an integer number (18345600).

Almost surely, 2^3387852000 is an apocalyptic number.

3387852000 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 3387852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044710400).

3387852000 is an abundant number, since it is smaller than the sum of its proper divisors (10701568800).

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

3387852000 is a wasteful number, since it uses less digits than its factorization.

3387852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3387852000 is about 58205.2574944910. The cubic root of 3387852000 is about 1501.9015882893.

The spelling of 3387852000 in words is "three billion, three hundred eighty-seven million, eight hundred fifty-two thousand".