3962721600 has 252 divisors, whose sum is σ = 14234664444. Its totient is φ = 1045463040.

The previous prime is 3962721577. The next prime is 3962721601. The reversal of 3962721600 is 61272693.

3962721600 is a `hidden beast` number, since 3 + 9 + 6 + 27 + 21 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 803382336 + 3159339264 = 28344^2 + 56208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3962721601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1395382 + ... + 1398218.

Almost surely, 2^3962721600 is an apocalyptic number.

3962721600 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 3962721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117332222).

3962721600 is an abundant number, since it is smaller than the sum of its proper divisors (10271942844).

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

3962721600 is a wasteful number, since it uses less digits than its factorization.

3962721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3962721600 is about 62950.1517075217. The cubic root of 3962721600 is about 1582.4543385820.

The spelling of 3962721600 in words is "three billion, nine hundred sixty-two million, seven hundred twenty-one thousand, six hundred".