3978045120 has 224 divisors, whose sum is σ = 14482925568. Its totient is φ = 906227712.

The previous prime is 3978045103. The next prime is 3978045133. The reversal of 3978045120 is 215408793.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2465434 + ... + 2467046.

Almost surely, 2^3978045120 is an apocalyptic number.

3978045120 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 3978045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7241462784).

3978045120 is an abundant number, since it is smaller than the sum of its proper divisors (10504880448).

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

3978045120 is a wasteful number, since it uses less digits than its factorization.

3978045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 3978045120 is about 63071.7458137953. The cubic root of 3978045120 is about 1584.4914555033.

The spelling of 3978045120 in words is "three billion, nine hundred seventy-eight million, forty-five thousand, one hundred twenty".