3978308160 has 672 divisors, whose sum is σ = 15691104000. Its totient is φ = 919683072.

The previous prime is 3978308129. The next prime is 3978308197. The reversal of 3978308160 is 618038793.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36498186 + ... + 36498294.

Almost surely, 2^3978308160 is an apocalyptic number.

3978308160 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 3978308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845552000).

3978308160 is an abundant number, since it is smaller than the sum of its proper divisors (11712795840).

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

3978308160 is a wasteful number, since it uses less digits than its factorization.

3978308160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3978308160 is about 63073.8310236504. The cubic root of 3978308160 is about 1584.5263784729.

The spelling of 3978308160 in words is "three billion, nine hundred seventy-eight million, three hundred eight thousand, one hundred sixty".