3921715152768 has 512 divisors, whose sum is σ = 13183948800000. Its totient is φ = 1007518998528.

The previous prime is 3921715152767. The next prime is 3921715152769. The reversal of 3921715152768 is 8672515171293.

It is an interprime number because it is at equal distance from previous prime (3921715152767) and next prime (3921715152769).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3921715152763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87361753 + ... + 87406631.

It is an arithmetic number, because the mean of its divisors is an integer number (25749900000).

Almost surely, 2^{3921715152768} is an apocalyptic number.

3921715152768 is a gapful number since it is divisible by the number (38) 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 3921715152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6591974400000).

3921715152768 is an abundant number, since it is smaller than the sum of its proper divisors (9262233647232).

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

3921715152768 is a wasteful number, since it uses less digits than its factorization.

3921715152768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45010 (or 44998 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 57.

The spelling of 3921715152768 in words is "three trillion, nine hundred twenty-one billion, seven hundred fifteen million, one hundred fifty-two thousand, seven hundred sixty-eight".