3684781520 has 240 divisors, whose sum is σ = 10425832704. Its totient is φ = 1185638400.

The previous prime is 3684781519. The next prime is 3684781523. The reversal of 3684781520 is 251874863.

3684781520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3684781520² = 27155229700267020800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3684781523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22064477 + ... + 22064643.

Almost surely, 2^3684781520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3684781520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212916352).

3684781520 is an abundant number, since it is smaller than the sum of its proper divisors (6741051184).

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

3684781520 is a wasteful number, since it uses less digits than its factorization.

3684781520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 3684781520 is about 60702.4012704605. The cubic root of 3684781520 is about 1544.5569080194.

The spelling of 3684781520 in words is "three billion, six hundred eighty-four million, seven hundred eighty-one thousand, five hundred twenty".