3989403600 has 720 divisors, whose sum is σ = 17006286528. Its totient is φ = 789626880.

The previous prime is 3989403581. The next prime is 3989403601. The reversal of 3989403600 is 63049893.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3989403601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12994647 + ... + 12994953.

Almost surely, 2^3989403600 is an apocalyptic number.

3989403600 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 3989403600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503143264).

3989403600 is an abundant number, since it is smaller than the sum of its proper divisors (13016882928).

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

3989403600 is a wasteful number, since it uses less digits than its factorization.

3989403600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 3989403600 is about 63161.7257522307. The cubic root of 3989403600 is about 1585.9980843285.

The spelling of 3989403600 in words is "three billion, nine hundred eighty-nine million, four hundred three thousand, six hundred".