3952375560 has 672 divisors, whose sum is σ = 16428576960. Its totient is φ = 837568512.

The previous prime is 3952375547. The next prime is 3952375561. The reversal of 3952375560 is 655732593.

It is a happy number.

3952375560 is a `hidden beast` number, since 3 + 9 + 52 + 37 + 5 + 560 = 666.

3952375560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3952375561) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 58990647 + ... + 58990713.

Almost surely, 2^3952375560 is an apocalyptic number.

3952375560 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 3952375560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8214288480).

3952375560 is an abundant number, since it is smaller than the sum of its proper divisors (12476201400).

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

3952375560 is a wasteful number, since it uses less digits than its factorization.

3952375560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The square root of 3952375560 is about 62867.9215498652. The cubic root of 3952375560 is about 1581.0759588895.

The spelling of 3952375560 in words is "three billion, nine hundred fifty-two million, three hundred seventy-five thousand, five hundred sixty".