3973702682880 has 1728 divisors, whose sum is σ = 17559638369280. Its totient is φ = 845439565824.

The previous prime is 3973702682879. The next prime is 3973702682909. The reversal of 3973702682880 is 882862073793.

3973702682880 is a `hidden beast` number, since 3 + 97 + 3 + 7 + 0 + 268 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2792481849 + ... + 2792483271.

It is an arithmetic number, because the mean of its divisors is an integer number (10161827760).

Almost surely, 2^{3973702682880} is an apocalyptic number.

3973702682880 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 3973702682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8779819184640).

3973702682880 is an abundant number, since it is smaller than the sum of its proper divisors (13585935686400).

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

3973702682880 is a wasteful number, since it uses less digits than its factorization.

3973702682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 3973702682880 in words is "three trillion, nine hundred seventy-three billion, seven hundred two million, six hundred eighty-two thousand, eight hundred eighty".