3921415680 has 640 divisors, whose sum is σ = 16014974976. Its totient is φ = 796262400.

The previous prime is 3921415669. The next prime is 3921415723. The reversal of 3921415680 is 865141293.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21665190 + ... + 21665370.

Almost surely, 2^3921415680 is an apocalyptic number.

3921415680 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 3921415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007487488).

3921415680 is an abundant number, since it is smaller than the sum of its proper divisors (12093559296).

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

3921415680 is a wasteful number, since it uses less digits than its factorization.

3921415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 3921415680 is about 62621.2079091421. The cubic root of 3921415680 is about 1576.9368200855.

The spelling of 3921415680 in words is "three billion, nine hundred twenty-one million, four hundred fifteen thousand, six hundred eighty".