3792982260480 has 288 divisors, whose sum is σ = 13847895796224. Its totient is φ = 866747547648.

The previous prime is 3792982260461. The next prime is 3792982260511. The reversal of 3792982260480 is 840622892973.

3792982260480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121293807 + ... + 121325073.

Almost surely, 2^{3792982260480} is an apocalyptic number.

3792982260480 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 3792982260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6923947898112).

3792982260480 is an abundant number, since it is smaller than the sum of its proper divisors (10054913535744).

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

3792982260480 is a wasteful number, since it uses less digits than its factorization.

3792982260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35811 (or 35797 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 3792982260480 in words is "three trillion, seven hundred ninety-two billion, nine hundred eighty-two million, two hundred sixty thousand, four hundred eighty".