3102805382040 has 1152 divisors, whose sum is σ = 12888750551040. Its totient is φ = 633389912064.

The previous prime is 3102805381987. The next prime is 3102805382063. The reversal of 3102805382040 is 402835082013.

3102805382040 is a `hidden beast` number, since 3 + 1 + 0 + 2 + 80 + 538 + 2 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3102805381986 and 3102805382004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3513935439 + ... + 3513936321.

It is an arithmetic number, because the mean of its divisors is an integer number (11188151520).

Almost surely, 2^{3102805382040} is an apocalyptic number.

3102805382040 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 3102805382040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6444375275520).

3102805382040 is an abundant number, since it is smaller than the sum of its proper divisors (9785945169000).

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

3102805382040 is a wasteful number, since it uses less digits than its factorization.

3102805382040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 3102805382040 in words is "three trillion, one hundred two billion, eight hundred five million, three hundred eighty-two thousand, forty".