3954241200 has 480 divisors, whose sum is σ = 15929536000. Its totient is φ = 833172480.

The previous prime is 3954241189. The next prime is 3954241217. The reversal of 3954241200 is 21424593.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5350431 + ... + 5351169.

Almost surely, 2^3954241200 is an apocalyptic number.

3954241200 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 3954241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7964768000).

3954241200 is an abundant number, since it is smaller than the sum of its proper divisors (11975294800).

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

3954241200 is a wasteful number, since it uses less digits than its factorization.

3954241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 3954241200 is about 62882.7575731217. The cubic root of 3954241200 is about 1581.3246915408.

Adding to 3954241200 its reverse (21424593), we get a palindrome (3975665793).

The spelling of 3954241200 in words is "three billion, nine hundred fifty-four million, two hundred forty-one thousand, two hundred".