3921405696 has 324 divisors, whose sum is σ = 12730485768. Its totient is φ = 1203351552.

The previous prime is 3921405647. The next prime is 3921405703. The reversal of 3921405696 is 6965041293.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-3 number, since 3×3921405696³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10512966 + ... + 10513338.

Almost surely, 2^3921405696 is an apocalyptic number.

3921405696 is a gapful number since it is divisible by the number (36) 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 3921405696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6365242884).

3921405696 is an abundant number, since it is smaller than the sum of its proper divisors (8809080072).

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

3921405696 is an equidigital number, since it uses as much as digits as its factorization.

3921405696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3921405696 is about 62621.1281916894. The cubic root of 3921405696 is about 1576.9354817805.

The spelling of 3921405696 in words is "three billion, nine hundred twenty-one million, four hundred five thousand, six hundred ninety-six".