3387952652300 has 144 divisors (see below), whose sum is σ = 7659597254400. Its totient is φ = 1299637405440.

The previous prime is 3387952652281. The next prime is 3387952652303. The reversal of 3387952652300 is 32562597833.

It is a super-2 number, since 2×3387952652300² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3387952652303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78762599 + ... + 78805601.

It is an arithmetic number, because the mean of its divisors is an integer number (53191647600).

Almost surely, 2^{3387952652300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3387952652300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829798627200).

3387952652300 is an abundant number, since it is smaller than the sum of its proper divisors (4271644602100).

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

3387952652300 is a wasteful number, since it uses less digits than its factorization.

3387952652300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43360 (or 43353 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 53.

The spelling of 3387952652300 in words is "three trillion, three hundred eighty-seven billion, nine hundred fifty-two million, six hundred fifty-two thousand, three hundred".