3921573600 has 864 divisors, whose sum is σ = 17548876800. Its totient is φ = 802897920.

The previous prime is 3921573599. The next prime is 3921573619. The reversal of 3921573600 is 63751293.

3921573600 is a `hidden beast` number, since 3 + 9 + 21 + 573 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19706301 + ... + 19706499.

It is an arithmetic number, because the mean of its divisors is an integer number (20311200).

Almost surely, 2^3921573600 is an apocalyptic number.

3921573600 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 3921573600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8774438400).

3921573600 is an abundant number, since it is smaller than the sum of its proper divisors (13627303200).

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

3921573600 is a wasteful number, since it uses less digits than its factorization.

3921573600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3921573600 is about 62622.4688111224. The cubic root of 3921573600 is about 1576.9579881653.

The spelling of 3921573600 in words is "three billion, nine hundred twenty-one million, five hundred seventy-three thousand, six hundred".