3978589100 has 36 divisors (see below), whose sum is σ = 8638723128. Its totient is φ = 1590480000.

The previous prime is 3978589093. The next prime is 3978589103. The reversal of 3978589100 is 19858793.

It is a super-3 number, since 3×3978589100³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

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

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169055 + ... + 191145.

Almost surely, 2^3978589100 is an apocalyptic number.

It is an amenable number.

3978589100 is an abundant number, since it is smaller than the sum of its proper divisors (4660134028).

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

3978589100 is a wasteful number, since it uses less digits than its factorization.

3978589100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23906 (or 23899 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 50.

The square root of 3978589100 is about 63076.0580569205. The cubic root of 3978589100 is about 1584.5636762676.

The spelling of 3978589100 in words is "three billion, nine hundred seventy-eight million, five hundred eighty-nine thousand, one hundred".