3948991200 has 864 divisors, whose sum is σ = 18426320640. Its totient is φ = 770457600.

The previous prime is 3948991177. The next prime is 3948991259. The reversal of 3948991200 is 21998493.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 9424591 + ... + 9425009.

It is an arithmetic number, because the mean of its divisors is an integer number (21326760).

Almost surely, 2^3948991200 is an apocalyptic number.

3948991200 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 3948991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9213160320).

3948991200 is an abundant number, since it is smaller than the sum of its proper divisors (14477329440).

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

3948991200 is a wasteful number, since it uses less digits than its factorization.

3948991200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 3948991200 is about 62840.9993555163. Note that the first 3 decimals coincide. The cubic root of 3948991200 is about 1580.6245461307.

The spelling of 3948991200 in words is "three billion, nine hundred forty-eight million, nine hundred ninety-one thousand, two hundred".