3207980792016 has 2400 divisors, whose sum is σ = 13251737334528. Its totient is φ = 726669066240.

The previous prime is 3207980791993. The next prime is 3207980792017. The reversal of 3207980792016 is 6102970897023.

3207980792016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3207980792016² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3207980792017) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 33071966880 + ... + 33071966976.

Almost surely, 2^{3207980792016} is an apocalyptic number.

3207980792016 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 3207980792016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625868667264).

3207980792016 is an abundant number, since it is smaller than the sum of its proper divisors (10043756542512).

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

3207980792016 is a wasteful number, since it uses less digits than its factorization.

3207980792016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 3207980792016 in words is "three trillion, two hundred seven billion, nine hundred eighty million, seven hundred ninety-two thousand, sixteen".