3815381717520 has 80 divisors (see below), whose sum is σ = 12450192987840. Its totient is φ = 963885906432.

The previous prime is 3815381717479. The next prime is 3815381717591. The reversal of 3815381717520 is 257171835183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 418348699 + ... + 418357818.

It is an arithmetic number, because the mean of its divisors is an integer number (155627412348).

Almost surely, 2^{3815381717520} is an apocalyptic number.

3815381717520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3815381717520 is an abundant number, since it is smaller than the sum of its proper divisors (8634811270320).

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

3815381717520 is a wasteful number, since it uses less digits than its factorization.

3815381717520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836706552 (or 836706546 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 51.

The spelling of 3815381717520 in words is "three trillion, eight hundred fifteen billion, three hundred eighty-one million, seven hundred seventeen thousand, five hundred twenty".