3684370536 has 320 divisors, whose sum is σ = 13187180160. Its totient is φ = 933120000.

The previous prime is 3684370523. The next prime is 3684370589. The reversal of 3684370536 is 6350734863.

3684370536 is a `hidden beast` number, since 3 + 6 + 8 + 43 + 70 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3684370491 and 3684370500.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2044836 + ... + 2046636.

It is an arithmetic number, because the mean of its divisors is an integer number (41209938).

Almost surely, 2^3684370536 is an apocalyptic number.

3684370536 is a gapful number since it is divisible by the number (36) 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 3684370536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6593590080).

3684370536 is an abundant number, since it is smaller than the sum of its proper divisors (9502809624).

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

3684370536 is a wasteful number, since it uses less digits than its factorization.

3684370536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3684370536 is about 60699.0159393050. The cubic root of 3684370536 is about 1544.4994815682.

The spelling of 3684370536 in words is "three billion, six hundred eighty-four million, three hundred seventy thousand, five hundred thirty-six".