3979174957380 has 288 divisors, whose sum is σ = 14608092006144. Its totient is φ = 855896481792.

The previous prime is 3979174957379. The next prime is 3979174957409. The reversal of 3979174957380 is 837594719793.

3979174957380 is a `hidden beast` number, since 3 + 9 + 7 + 9 + 1 + 7 + 49 + 573 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3979174957299 and 3979174957308.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243173079 + ... + 243189441.

It is an arithmetic number, because the mean of its divisors is an integer number (50722541688).

Almost surely, 2^{3979174957380} is an apocalyptic number.

3979174957380 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 3979174957380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7304046003072).

3979174957380 is an abundant number, since it is smaller than the sum of its proper divisors (10628917048764).

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

3979174957380 is a wasteful number, since it uses less digits than its factorization.

3979174957380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27755 (or 27750 counting only the distinct ones).

The product of its (nonzero) digits is 360067680, while the sum is 72.

The spelling of 3979174957380 in words is "three trillion, nine hundred seventy-nine billion, one hundred seventy-four million, nine hundred fifty-seven thousand, three hundred eighty".