3947184480 has 96 divisors (see below), whose sum is σ = 12444413184. Its totient is φ = 1051670016.

The previous prime is 3947184473. The next prime is 3947184481. The reversal of 3947184480 is 844817493.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3947184481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691719 + ... + 697401.

It is an arithmetic number, because the mean of its divisors is an integer number (129629304).

Almost surely, 2^3947184480 is an apocalyptic number.

3947184480 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 3947184480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222206592).

3947184480 is an abundant number, since it is smaller than the sum of its proper divisors (8497228704).

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

3947184480 is a wasteful number, since it uses less digits than its factorization.

3947184480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7148 (or 7140 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 3947184480 is about 62826.6223825537. The cubic root of 3947184480 is about 1580.3834565747.

The spelling of 3947184480 in words is "three billion, nine hundred forty-seven million, one hundred eighty-four thousand, four hundred eighty".