3979519971336 has 1024 divisors, whose sum is σ = 14714929152000. Its totient is φ = 967238599680.

The previous prime is 3979519971269. The next prime is 3979519971347. The reversal of 3979519971336 is 6331799159793.

3979519971336 is a `hidden beast` number, since 3 + 9 + 7 + 9 + 519 + 9 + 71 + 3 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3352585735 + ... + 3352586921.

It is an arithmetic number, because the mean of its divisors is an integer number (14370048000).

Almost surely, 2^{3979519971336} is an apocalyptic number.

3979519971336 is a gapful number since it is divisible by the number (36) 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 3979519971336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357464576000).

3979519971336 is an abundant number, since it is smaller than the sum of its proper divisors (10735409180664).

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

3979519971336 is a wasteful number, since it uses less digits than its factorization.

3979519971336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1469 counting only the distinct ones).

The product of its digits is 260406090, while the sum is 72.

The spelling of 3979519971336 in words is "three trillion, nine hundred seventy-nine billion, five hundred nineteen million, nine hundred seventy-one thousand, three hundred thirty-six".