3947125248 has 320 divisors, whose sum is σ = 12922208640. Its totient is φ = 1179648000.

The previous prime is 3947125213. The next prime is 3947125249. The reversal of 3947125248 is 8425217493.

3947125248 is a `hidden beast` number, since 394 + 7 + 1 + 252 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3947125249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15358336 + ... + 15358592.

It is an arithmetic number, because the mean of its divisors is an integer number (40381902).

Almost surely, 2^3947125248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3947125248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6461104320).

3947125248 is an abundant number, since it is smaller than the sum of its proper divisors (8975083392).

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

3947125248 is a wasteful number, since it uses less digits than its factorization.

3947125248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 374 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 3947125248 is about 62826.1509882628. The cubic root of 3947125248 is about 1580.3755513837.

The spelling of 3947125248 in words is "three billion, nine hundred forty-seven million, one hundred twenty-five thousand, two hundred forty-eight".