3952800000 has 540 divisors, whose sum is σ = 14973736932. Its totient is φ = 1036800000.

The previous prime is 3952799993. The next prime is 3952800001. The reversal of 3952800000 is 82593.

It can be written as a sum of positive squares in 6 ways, for example, as 3887771904 + 65028096 = 62352^2 + 8064^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3952800001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64799970 + ... + 64800030.

Almost surely, 2^3952800000 is an apocalyptic number.

3952800000 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 3952800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7486868466).

3952800000 is an abundant number, since it is smaller than the sum of its proper divisors (11020936932).

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

3952800000 is an frugal number, since it uses more digits than its factorization.

3952800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3952800000 is about 62871.2971076627. The cubic root of 3952800000 is about 1581.1325533645.

Adding to 3952800000 its reverse (82593), we get a palindrome (3952882593).

The spelling of 3952800000 in words is "three billion, nine hundred fifty-two million, eight hundred thousand".