3818201520 has 240 divisors, whose sum is σ = 14004817920. Its totient is φ = 857783808.

The previous prime is 3818201483. The next prime is 3818201531. The reversal of 3818201520 is 251028183.

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 (30).

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, 691089 + ... + 696591.

It is an arithmetic number, because the mean of its divisors is an integer number (58353408).

Almost surely, 2^3818201520 is an apocalyptic number.

3818201520 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 3818201520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7002408960).

3818201520 is an abundant number, since it is smaller than the sum of its proper divisors (10186616400).

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

3818201520 is a wasteful number, since it uses less digits than its factorization.

3818201520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5592 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 3818201520 is about 61791.5974870370. The cubic root of 3818201520 is about 1562.9783011017.

The spelling of 3818201520 in words is "three billion, eight hundred eighteen million, two hundred one thousand, five hundred twenty".