3978241758240 has 96 divisors (see below), whose sum is σ = 12870149745600. Its totient is φ = 1032192451584.

The previous prime is 3978241758223. The next prime is 3978241758247. The reversal of 3978241758240 is 428571428793.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (3978241758247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111982290 + ... + 112017809.

It is an arithmetic number, because the mean of its divisors is an integer number (134064059850).

Almost surely, 2^{3978241758240} is an apocalyptic number.

3978241758240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3978241758240 is an abundant number, since it is smaller than the sum of its proper divisors (8891907987360).

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

3978241758240 is a wasteful number, since it uses less digits than its factorization.

3978241758240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224000154 (or 224000146 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 3978241758240 in words is "three trillion, nine hundred seventy-eight billion, two hundred forty-one million, seven hundred fifty-eight thousand, two hundred forty".