3973537808640 has 108 divisors (see below), whose sum is σ = 13748026947564. Its totient is φ = 1059610079232.

The previous prime is 3973537808629. The next prime is 3973537808651. The reversal of 3973537808640 is 468087353793.

3973537808640 is a `hidden beast` number, since 3 + 97 + 3 + 537 + 8 + 0 + 8 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3973537808629) and next prime (3973537808651).

It can be written as a sum of positive squares in 2 ways, for example, as 2906233933824 + 1067303874816 = 1704768^2 + 1033104^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172451059 + ... + 172474098.

Almost surely, 2^{3973537808640} is an apocalyptic number.

3973537808640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3973537808640 is an abundant number, since it is smaller than the sum of its proper divisors (9774489138924).

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

3973537808640 is a wasteful number, since it uses less digits than its factorization.

3973537808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344925184 (or 344925167 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 3973537808640 in words is "three trillion, nine hundred seventy-three billion, five hundred thirty-seven million, eight hundred eight thousand, six hundred forty".