3956867200 has 192 divisors, whose sum is σ = 11484889920. Its totient is φ = 1328025600.

The previous prime is 3956867197. The next prime is 3956867207. The reversal of 3956867200 is 27686593.

It is a super-3 number, since 3×3956867200³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3956867207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453277 + ... + 461923.

It is an arithmetic number, because the mean of its divisors is an integer number (59817135).

Almost surely, 2^3956867200 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 3956867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742444960).

3956867200 is an abundant number, since it is smaller than the sum of its proper divisors (7528022720).

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

3956867200 is a wasteful number, since it uses less digits than its factorization.

3956867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8695 (or 8678 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The square root of 3956867200 is about 62903.6342352332. The cubic root of 3956867200 is about 1581.6746651122.

The spelling of 3956867200 in words is "three billion, nine hundred fifty-six million, eight hundred sixty-seven thousand, two hundred".