3975575040 has 320 divisors, whose sum is σ = 14274532800. Its totient is φ = 1048707072.

The previous prime is 3975574957. The next prime is 3975575057. The reversal of 3975575040 is 405755793.

3975575040 is a `hidden beast` number, since 3 + 9 + 7 + 557 + 50 + 40 = 666.

3975575040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 7810306 + ... + 7810814.

It is an arithmetic number, because the mean of its divisors is an integer number (44607915).

Almost surely, 2^3975575040 is an apocalyptic number.

3975575040 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 3975575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7137266400).

3975575040 is an abundant number, since it is smaller than the sum of its proper divisors (10298957760).

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

3975575040 is a wasteful number, since it uses less digits than its factorization.

3975575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The square root of 3975575040 is about 63052.1612635126. The cubic root of 3975575040 is about 1584.1634358451.

The spelling of 3975575040 in words is "three billion, nine hundred seventy-five million, five hundred seventy-five thousand, forty".