3946488480 has 960 divisors, whose sum is σ = 16860856320. Its totient is φ = 858470400.

The previous prime is 3946488451. The next prime is 3946488521. The reversal of 3946488480 is 848846493.

3946488480 = T₁₁₉₅₂ + T₁₁₉₅₃ + ... + T₁₂₀₀₆.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 83967817 + ... + 83967863.

It is an arithmetic number, because the mean of its divisors is an integer number (17563392).

Almost surely, 2^3946488480 is an apocalyptic number.

3946488480 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 3946488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8430428160).

3946488480 is an abundant number, since it is smaller than the sum of its proper divisors (12914367840).

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

3946488480 is a wasteful number, since it uses less digits than its factorization.

3946488480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 3946488480 is about 62821.0830852191. The cubic root of 3946488480 is about 1580.2905623823.

The spelling of 3946488480 in words is "three billion, nine hundred forty-six million, four hundred eighty-eight thousand, four hundred eighty".