3681362520 has 448 divisors, whose sum is σ = 14165280000. Its totient is φ = 851938560.

The previous prime is 3681362453. The next prime is 3681362521. The reversal of 3681362520 is 252631863.

It is a happy number.

3681362520 is a `hidden beast` number, since 3 + 6 + 8 + 1 + 3 + 625 + 20 = 666.

3681362520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3681362521) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7377231 + ... + 7377729.

Almost surely, 2^3681362520 is an apocalyptic number.

3681362520 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 3681362520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082640000).

3681362520 is an abundant number, since it is smaller than the sum of its proper divisors (10483917480).

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

3681362520 is a wasteful number, since it uses less digits than its factorization.

3681362520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3681362520 is about 60674.2327516385. The cubic root of 3681362520 is about 1544.0790439367.

The spelling of 3681362520 in words is "three billion, six hundred eighty-one million, three hundred sixty-two thousand, five hundred twenty".