3978450432 has 640 divisors, whose sum is σ = 14495500800. Its totient is φ = 1074954240.

The previous prime is 3978450403. The next prime is 3978450473. The reversal of 3978450432 is 2340548793.

3978450432 is a `hidden beast` number, since 3 + 97 + 84 + 50 + 432 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209392119 + ... + 209392137.

It is an arithmetic number, because the mean of its divisors is an integer number (22649220).

Almost surely, 2^3978450432 is an apocalyptic number.

3978450432 is a gapful number since it is divisible by the number (32) 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 3978450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7247750400).

3978450432 is an abundant number, since it is smaller than the sum of its proper divisors (10517050368).

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

3978450432 is an equidigital number, since it uses as much as digits as its factorization.

3978450432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3978450432 is about 63074.9588347071. The cubic root of 3978450432 is about 1584.5452668245.

The spelling of 3978450432 in words is "three billion, nine hundred seventy-eight million, four hundred fifty thousand, four hundred thirty-two".