3975573420 has 384 divisors, whose sum is σ = 16121548800. Its totient is φ = 789295104.

The previous prime is 3975573409. The next prime is 3975573457. The reversal of 3975573420 is 243755793.

3975573420 is a `hidden beast` number, since 3 + 9 + 75 + 573 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 833001 + ... + 837759.

It is an arithmetic number, because the mean of its divisors is an integer number (41983200).

Almost surely, 2^3975573420 is an apocalyptic number.

3975573420 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 3975573420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060774400).

3975573420 is an abundant number, since it is smaller than the sum of its proper divisors (12145975380).

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

3975573420 is a wasteful number, since it uses less digits than its factorization.

3975573420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The square root of 3975573420 is about 63052.1484170048. The cubic root of 3975573420 is about 1584.1632206691.

The spelling of 3975573420 in words is "three billion, nine hundred seventy-five million, five hundred seventy-three thousand, four hundred twenty".