3661682040 has 96 divisors (see below), whose sum is σ = 11907932400. Its totient is φ = 975836160.

The previous prime is 3661682029. The next prime is 3661682053. The reversal of 3661682040 is 402861663.

3661682040 is a `hidden beast` number, since 36 + 616 + 8 + 2 + 0 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3661681986 and 3661682004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1121931 + ... + 1125189.

Almost surely, 2^3661682040 is an apocalyptic number.

3661682040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3661682040 is an abundant number, since it is smaller than the sum of its proper divisors (8246250360).

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

3661682040 is a wasteful number, since it uses less digits than its factorization.

3661682040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6397 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3661682040 is about 60511.8338839603. The cubic root of 3661682040 is about 1541.3225889962.

The spelling of 3661682040 in words is "three billion, six hundred sixty-one million, six hundred eighty-two thousand, forty".