3950434800 has 600 divisors, whose sum is σ = 15589095984. Its totient is φ = 952197120.

The previous prime is 3950434793. The next prime is 3950434801. The reversal of 3950434800 is 84340593.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3950434801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34959544 + ... + 34959656.

Almost surely, 2^3950434800 is an apocalyptic number.

3950434800 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 3950434800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7794547992).

3950434800 is an abundant number, since it is smaller than the sum of its proper divisors (11638661184).

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

3950434800 is a wasteful number, since it uses less digits than its factorization.

3950434800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3950434800 is about 62852.4844377690. The cubic root of 3950434800 is about 1580.8171279396.

The spelling of 3950434800 in words is "three billion, nine hundred fifty million, four hundred thirty-four thousand, eight hundred".