3947348160 has 224 divisors, whose sum is σ = 15914949120. Its totient is φ = 902237184.

The previous prime is 3947348143. The next prime is 3947348177. The reversal of 3947348160 is 618437493.

It is an interprime number because it is at equal distance from previous prime (3947348143) and next prime (3947348177).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×3947348160³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27847 + ... + 93113.

It is an arithmetic number, because the mean of its divisors is an integer number (71048880).

Almost surely, 2^3947348160 is an apocalyptic number.

3947348160 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 3947348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7957474560).

3947348160 is an abundant number, since it is smaller than the sum of its proper divisors (11967600960).

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

3947348160 is a wasteful number, since it uses less digits than its factorization.

3947348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65300 (or 65284 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3947348160 is about 62827.9250015469. The cubic root of 3947348160 is about 1580.4053011401.

The spelling of 3947348160 in words is "three billion, nine hundred forty-seven million, three hundred forty-eight thousand, one hundred sixty".