3975552 has 192 divisors, whose sum is σ = 14320800. Its totient is φ = 1032192.

The previous prime is 3975547. The next prime is 3975577. The reversal of 3975552 is 2555793.

3975552 is a `hidden beast` number, since 39 + 75 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137074 + ... + 137102.

Almost surely, 2^3975552 is an apocalyptic number.

3975552 is a gapful number since it is divisible by the number (32) 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 3975552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7160400).

3975552 is an abundant number, since it is smaller than the sum of its proper divisors (10345248).

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

3975552 is a wasteful number, since it uses less digits than its factorization.

3975552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 58 counting only the distinct ones).

The product of its digits is 47250, while the sum is 36.

The square root of 3975552 is about 1993.8786322141. The cubic root of 3975552 is about 158.4160375559.

The spelling of 3975552 in words is "three million, nine hundred seventy-five thousand, five hundred fifty-two".