3947579338752 has 1248 divisors, whose sum is σ = 14273151692800. Its totient is φ = 1088570327040.

The previous prime is 3947579338751. The next prime is 3947579338753. The reversal of 3947579338752 is 2578339757493.

3947579338752 is a `hidden beast` number, since 3 + 9 + 47 + 579 + 3 + 3 + 8 + 7 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3947579338751) and next prime (3947579338753).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3947579338751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10583322438 + ... + 10583322810.

Almost surely, 2^{3947579338752} is an apocalyptic number.

3947579338752 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 3947579338752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136575846400).

3947579338752 is an abundant number, since it is smaller than the sum of its proper divisors (10325572354048).

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

3947579338752 is an frugal number, since it uses more digits than its factorization.

3947579338752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 416 counting only the distinct ones).

The product of its digits is 1200225600, while the sum is 72.

The spelling of 3947579338752 in words is "three trillion, nine hundred forty-seven billion, five hundred seventy-nine million, three hundred thirty-eight thousand, seven hundred fifty-two".