3661249536 has 528 divisors, whose sum is σ = 13284211200. Its totient is φ = 947552256.

The previous prime is 3661249483. The next prime is 3661249583. The reversal of 3661249536 is 6359421663.

3661249536 is a `hidden beast` number, since 3 + 66 + 12 + 49 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3661249491 and 3661249500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35546061 + ... + 35546163.

Almost surely, 2^3661249536 is an apocalyptic number.

3661249536 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 3661249536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642105600).

3661249536 is an abundant number, since it is smaller than the sum of its proper divisors (9622961664).

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

3661249536 is a wasteful number, since it uses less digits than its factorization.

3661249536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 163 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 3661249536 is about 60508.2600642259. The cubic root of 3661249536 is about 1541.2619015465.

The spelling of 3661249536 in words is "three billion, six hundred sixty-one million, two hundred forty-nine thousand, five hundred thirty-six".