3980178720 has 288 divisors, whose sum is σ = 16436504448. Its totient is φ = 856203264.

The previous prime is 3980178707. The next prime is 3980178721. The reversal of 3980178720 is 278710893.

3980178720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (3980178721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159747 + ... + 182973.

It is an arithmetic number, because the mean of its divisors is an integer number (57071196).

Almost surely, 2^3980178720 is an apocalyptic number.

3980178720 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 3980178720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8218252224).

3980178720 is an abundant number, since it is smaller than the sum of its proper divisors (12456325728).

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

3980178720 is a wasteful number, since it uses less digits than its factorization.

3980178720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23272 (or 23261 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 3980178720 is about 63088.6576176732. The cubic root of 3980178720 is about 1584.7746822849.

The spelling of 3980178720 in words is "three billion, nine hundred eighty million, one hundred seventy-eight thousand, seven hundred twenty".