3972510829716 has 384 divisors, whose sum is σ = 11477697380352. Its totient is φ = 1052863488000.

The previous prime is 3972510829709. The next prime is 3972510829717. The reversal of 3972510829716 is 6179280152793.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3972510829716.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972510829717) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 736602316 + ... + 736607708.

It is an arithmetic number, because the mean of its divisors is an integer number (29889836928).

Almost surely, 2^{3972510829716} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3972510829716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5738848690176).

3972510829716 is an abundant number, since it is smaller than the sum of its proper divisors (7505186550636).

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

3972510829716 is a wasteful number, since it uses less digits than its factorization.

3972510829716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5743 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 3972510829716 in words is "three trillion, nine hundred seventy-two billion, five hundred ten million, eight hundred twenty-nine thousand, seven hundred sixteen".