3921132096 has 336 divisors, whose sum is σ = 13313664000. Its totient is φ = 1102768128.

The previous prime is 3921132077. The next prime is 3921132109. The reversal of 3921132096 is 6902311293.

It is a happy number.

3921132096 is a `hidden beast` number, since 39 + 211 + 320 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3921132096.

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 47 ways as a sum of consecutive naturals, for example, 17583441 + ... + 17583663.

It is an arithmetic number, because the mean of its divisors is an integer number (39624000).

Almost surely, 2^3921132096 is an apocalyptic number.

3921132096 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 3921132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656832000).

3921132096 is an abundant number, since it is smaller than the sum of its proper divisors (9392531904).

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

3921132096 is a wasteful number, since it uses less digits than its factorization.

3921132096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 3921132096 is about 62618.9435873842. The cubic root of 3921132096 is about 1576.8988061923.

The spelling of 3921132096 in words is "three billion, nine hundred twenty-one million, one hundred thirty-two thousand, ninety-six".