3978960020640 has 288 divisors, whose sum is σ = 14814763209792. Its totient is φ = 964454400000.

The previous prime is 3978960020639. The next prime is 3978960020671. The reversal of 3978960020640 is 460200698793.

It is a happy number.

3978960020640 is a `hidden beast` number, since 3 + 9 + 7 + 8 + 9 + 600 + 20 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142086640 + ... + 142114640.

It is an arithmetic number, because the mean of its divisors is an integer number (51440150034).

Almost surely, 2^{3978960020640} is an apocalyptic number.

3978960020640 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 3978960020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7407381604896).

3978960020640 is an abundant number, since it is smaller than the sum of its proper divisors (10835803189152).

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

3978960020640 is a wasteful number, since it uses less digits than its factorization.

3978960020640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37004 (or 36993 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 3978960020640 in words is "three trillion, nine hundred seventy-eight billion, nine hundred sixty million, twenty thousand, six hundred forty".