3979421400 has 96 divisors (see below), whose sum is σ = 12474982800. Its totient is φ = 1049241600.

The previous prime is 3979421393. The next prime is 3979421401. The reversal of 3979421400 is 41249793.

3979421400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3979421401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16140 + ... + 90660.

Almost surely, 2^3979421400 is an apocalyptic number.

3979421400 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 3979421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237491400).

3979421400 is an abundant number, since it is smaller than the sum of its proper divisors (8495561400).

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

3979421400 is a wasteful number, since it uses less digits than its factorization.

3979421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74629 (or 74620 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 3979421400 is about 63082.6553023888. The cubic root of 3979421400 is about 1584.6741627039.

The spelling of 3979421400 in words is "three billion, nine hundred seventy-nine million, four hundred twenty-one thousand, four hundred".