3972753936 has 240 divisors, whose sum is σ = 12622656384. Its totient is φ = 1159335936.

The previous prime is 3972753853. The next prime is 3972753937. The reversal of 3972753936 is 6393572793.

3972753936 is a `hidden beast` number, since 3 + 9 + 72 + 7 + 539 + 36 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3972753937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2082295 + ... + 2084201.

Almost surely, 2^3972753936 is an apocalyptic number.

3972753936 is a gapful number since it is divisible by the number (36) 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 3972753936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311328192).

3972753936 is an abundant number, since it is smaller than the sum of its proper divisors (8649902448).

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

3972753936 is a wasteful number, since it uses less digits than its factorization.

3972753936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1989 counting only the distinct ones).

The product of its digits is 6429780, while the sum is 54.

The square root of 3972753936 is about 63029.7861014933. The cubic root of 3972753936 is about 1583.7886349438.

The spelling of 3972753936 in words is "three billion, nine hundred seventy-two million, seven hundred fifty-three thousand, nine hundred thirty-six".