3689272763640 has 192 divisors, whose sum is σ = 12696742094400. Its totient is φ = 925840060416.

The previous prime is 3689272763621. The next prime is 3689272763647. The reversal of 3689272763640 is 463672729863.

3689272763640 is a `hidden beast` number, since 368 + 92 + 72 + 7 + 63 + 64 + 0 = 666.

It is a super-2 number, since 2×3689272763640² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3689272763647) 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, 74082189 + ... + 74131971.

It is an arithmetic number, because the mean of its divisors is an integer number (66128865075).

Almost surely, 2^{3689272763640} is an apocalyptic number.

3689272763640 is a gapful number since it is divisible by the number (30) 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 3689272763640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348371047200).

3689272763640 is an abundant number, since it is smaller than the sum of its proper divisors (9007469330760).

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

3689272763640 is a wasteful number, since it uses less digits than its factorization.

3689272763640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61926 (or 61919 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 3689272763640 in words is "three trillion, six hundred eighty-nine billion, two hundred seventy-two million, seven hundred sixty-three thousand, six hundred forty".