3975528211200 has 1944 divisors, whose sum is σ = 18469886945328. Its totient is φ = 838583746560.

The previous prime is 3975528211199. The next prime is 3975528211219. The reversal of 3975528211200 is 21128255793.

3975528211200 is a `hidden beast` number, since 3 + 9 + 7 + 5 + 528 + 2 + 112 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 990660394 + ... + 990664406.

Almost surely, 2^{3975528211200} is an apocalyptic number.

3975528211200 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 3975528211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9234943472664).

3975528211200 is an abundant number, since it is smaller than the sum of its proper divisors (14494358734128).

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

3975528211200 is a wasteful number, since it uses less digits than its factorization.

3975528211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 3975528211200 in words is "three trillion, nine hundred seventy-five billion, five hundred twenty-eight million, two hundred eleven thousand, two hundred".