3978078720 has 720 divisors, whose sum is σ = 16676013024. Its totient is φ = 799948800.

The previous prime is 3978078707. The next prime is 3978078749. The reversal of 3978078720 is 278708793.

It is a super-2 number, since 2×3978078720² = 31650220605033676800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 128325105 + ... + 128325135.

Almost surely, 2^3978078720 is an apocalyptic number.

3978078720 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 3978078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8338006512).

3978078720 is an abundant number, since it is smaller than the sum of its proper divisors (12697934304).

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

3978078720 is a wasteful number, since it uses less digits than its factorization.

3978078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The square root of 3978078720 is about 63072.0121765589. The cubic root of 3978078720 is about 1584.4959165523.

The spelling of 3978078720 in words is "three billion, nine hundred seventy-eight million, seventy-eight thousand, seven hundred twenty".