3973646073600 has 864 divisors, whose sum is σ = 17226897408000. Its totient is φ = 876934840320.

The previous prime is 3973646073581. The next prime is 3973646073601. The reversal of 3973646073600 is 63706463793.

3973646073600 is a `hidden beast` number, since 3 + 97 + 36 + 460 + 7 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973646073601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35021761 + ... + 35135039.

Almost surely, 2^{3973646073600} is an apocalyptic number.

3973646073600 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 3973646073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8613448704000).

3973646073600 is an abundant number, since it is smaller than the sum of its proper divisors (13253251334400).

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

3973646073600 is a wasteful number, since it uses less digits than its factorization.

3973646073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113350 (or 113325 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 54.

The spelling of 3973646073600 in words is "three trillion, nine hundred seventy-three billion, six hundred forty-six million, seventy-three thousand, six hundred".