3973540536 has 240 divisors, whose sum is σ = 13512050640. Its totient is φ = 1085736960.

The previous prime is 3973540469. The next prime is 3973540553. The reversal of 3973540536 is 6350453793.

3973540536 is a `hidden beast` number, since 3 + 9 + 73 + 5 + 40 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3973540491 and 3973540500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 727576 + ... + 733016.

It is an arithmetic number, because the mean of its divisors is an integer number (56300211).

Almost surely, 2^3973540536 is an apocalyptic number.

3973540536 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 3973540536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756025320).

3973540536 is an abundant number, since it is smaller than the sum of its proper divisors (9538510104).

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

3973540536 is a wasteful number, since it uses less digits than its factorization.

3973540536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The square root of 3973540536 is about 63036.0256995950. The cubic root of 3973540536 is about 1583.8931573941.

The spelling of 3973540536 in words is "three billion, nine hundred seventy-three million, five hundred forty thousand, five hundred thirty-six".