3952576800 has 324 divisors, whose sum is σ = 14360373846. Its totient is φ = 1022976000.

The previous prime is 3952576777. The next prime is 3952576807. The reversal of 3952576800 is 86752593.

It is a happy number.

3952576800 is a `hidden beast` number, since 395 + 257 + 6 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 2969378064 + 983198736 = 54492^2 + 31356^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3952576807) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 9856600 + ... + 9857000.

Almost surely, 2^3952576800 is an apocalyptic number.

3952576800 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 3952576800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180186923).

3952576800 is an abundant number, since it is smaller than the sum of its proper divisors (10407797046).

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

3952576800 is a wasteful number, since it uses less digits than its factorization.

3952576800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 3952576800 is about 62869.5220277680. The cubic root of 3952576800 is about 1581.1027925681.

The spelling of 3952576800 in words is "three billion, nine hundred fifty-two million, five hundred seventy-six thousand, eight hundred".