3947747328 has 576 divisors, whose sum is σ = 14341017600. Its totient is φ = 1068318720.

The previous prime is 3947747317. The next prime is 3947747341. The reversal of 3947747328 is 8237477493.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3947747328² = 31169417931462279168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83994601 + ... + 83994647.

It is an arithmetic number, because the mean of its divisors is an integer number (24897600).

Almost surely, 2^3947747328 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 3947747328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7170508800).

3947747328 is an abundant number, since it is smaller than the sum of its proper divisors (10393270272).

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

3947747328 is a wasteful number, since it uses less digits than its factorization.

3947747328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The square root of 3947747328 is about 62831.1015978552. The cubic root of 3947747328 is about 1580.4585711612.

The spelling of 3947747328 in words is "three billion, nine hundred forty-seven million, seven hundred forty-seven thousand, three hundred twenty-eight".