3661679736 has 288 divisors, whose sum is σ = 12120822000. Its totient is φ = 1023010560.

The previous prime is 3661679719. The next prime is 3661679761. The reversal of 3661679736 is 6379761663.

3661679736 is a `hidden beast` number, since 366 + 167 + 97 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4416570 + ... + 4417398.

Almost surely, 2^3661679736 is an apocalyptic number.

3661679736 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 3661679736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6060411000).

3661679736 is an abundant number, since it is smaller than the sum of its proper divisors (8459142264).

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

3661679736 is a wasteful number, since it uses less digits than its factorization.

3661679736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 858 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The square root of 3661679736 is about 60511.8148463587. The cubic root of 3661679736 is about 1541.3222657196.

The spelling of 3661679736 in words is "three billion, six hundred sixty-one million, six hundred seventy-nine thousand, seven hundred thirty-six".