3813820265520 has 240 divisors, whose sum is σ = 13563278269632. Its totient is φ = 957068328960.

The previous prime is 3813820265413. The next prime is 3813820265561. The reversal of 3813820265520 is 255620283183.

3813820265520 is a `hidden beast` number, since 3 + 8 + 1 + 382 + 0 + 265 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123645300 + ... + 123676140.

Almost surely, 2^{3813820265520} is an apocalyptic number.

3813820265520 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 3813820265520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781639134816).

3813820265520 is an abundant number, since it is smaller than the sum of its proper divisors (9749458004112).

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

3813820265520 is a wasteful number, since it uses less digits than its factorization.

3813820265520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40980 (or 40971 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 3813820265520 in words is "three trillion, eight hundred thirteen billion, eight hundred twenty million, two hundred sixty-five thousand, five hundred twenty".