3979780992 has 384 divisors, whose sum is σ = 13370649600. Its totient is φ = 1163289600.

The previous prime is 3979780979. The next prime is 3979780993. The reversal of 3979780992 is 2990879793.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3979780993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12963303 + ... + 12963609.

It is an arithmetic number, because the mean of its divisors is an integer number (34819400).

Almost surely, 2^3979780992 is an apocalyptic number.

3979780992 is a gapful number since it is divisible by the number (32) 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 3979780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6685324800).

3979780992 is an abundant number, since it is smaller than the sum of its proper divisors (9390868608).

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

3979780992 is a wasteful number, since it uses less digits than its factorization.

3979780992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The square root of 3979780992 is about 63085.5054033809. The cubic root of 3979780992 is about 1584.7218931762.

The spelling of 3979780992 in words is "three billion, nine hundred seventy-nine million, seven hundred eighty thousand, nine hundred ninety-two".