3689910840 has 512 divisors, whose sum is σ = 14561648640. Its totient is φ = 725760000.

The previous prime is 3689910839. The next prime is 3689910841. The reversal of 3689910840 is 480199863.

It is an interprime number because it is at equal distance from previous prime (3689910839) and next prime (3689910841).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3689910840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3689910841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14700715 + ... + 14700965.

It is an arithmetic number, because the mean of its divisors is an integer number (28440720).

Almost surely, 2^3689910840 is an apocalyptic number.

3689910840 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 3689910840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7280824320).

3689910840 is an abundant number, since it is smaller than the sum of its proper divisors (10871737800).

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

3689910840 is a wasteful number, since it uses less digits than its factorization.

3689910840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 3689910840 is about 60744.6363064263. The cubic root of 3689910840 is about 1545.2732646799.

The spelling of 3689910840 in words is "three billion, six hundred eighty-nine million, nine hundred ten thousand, eight hundred forty".