3978589104 has 600 divisors, whose sum is σ = 14449932288. Its totient is φ = 1051626240.

The previous prime is 3978589103. The next prime is 3978589117. The reversal of 3978589104 is 4019858793.

3978589104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3978589104³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3978589103) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 84650809 + ... + 84650855.

Almost surely, 2^3978589104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3978589104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7224966144).

3978589104 is an abundant number, since it is smaller than the sum of its proper divisors (10471343184).

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

3978589104 is a wasteful number, since it uses less digits than its factorization.

3978589104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 3978589104 is about 63076.0580886282. The cubic root of 3978589104 is about 1584.5636767986.

The spelling of 3978589104 in words is "three billion, nine hundred seventy-eight million, five hundred eighty-nine thousand, one hundred four".