3802929082560 has 672 divisors, whose sum is σ = 14899853928960. Its totient is φ = 918960463872.

The previous prime is 3802929082553. The next prime is 3802929082571. The reversal of 3802929082560 is 652809292083.

3802929082560 is a `hidden beast` number, since 3 + 80 + 29 + 290 + 8 + 256 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3802929082497 and 3802929082506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33925164 + ... + 34037076.

It is an arithmetic number, because the mean of its divisors is an integer number (22172401680).

Almost surely, 2^{3802929082560} is an apocalyptic number.

3802929082560 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 3802929082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7449926964480).

3802929082560 is an abundant number, since it is smaller than the sum of its proper divisors (11096924846400).

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

3802929082560 is a wasteful number, since it uses less digits than its factorization.

3802929082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111987 (or 111965 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 3802929082560 in words is "three trillion, eight hundred two billion, nine hundred twenty-nine million, eighty-two thousand, five hundred sixty".