3949922995200 has 1584 divisors, whose sum is σ = 18165280014336. Its totient is φ = 797058662400.

The previous prime is 3949922995189. The next prime is 3949922995217. The reversal of 3949922995200 is 25992299493.

3949922995200 is a `hidden beast` number, since 3 + 9 + 499 + 2 + 2 + 99 + 52 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 482223105 + ... + 482231295.

Almost surely, 2^{3949922995200} is an apocalyptic number.

3949922995200 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 3949922995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9082640007168).

3949922995200 is an abundant number, since it is smaller than the sum of its proper divisors (14215357019136).

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

3949922995200 is a wasteful number, since it uses less digits than its factorization.

3949922995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8270 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 63.

The spelling of 3949922995200 in words is "three trillion, nine hundred forty-nine billion, nine hundred twenty-two million, nine hundred ninety-five thousand, two hundred".