3667628910 has 128 divisors (see below), whose sum is σ = 10062102528. Its totient is φ = 847440000.

The previous prime is 3667628851. The next prime is 3667628917. The reversal of 3667628910 is 198267663.

It is a self number, because there is not a number n which added to its sum of digits gives 3667628910.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667628917) 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 63 ways as a sum of consecutive naturals, for example, 682735 + ... + 688085.

It is an arithmetic number, because the mean of its divisors is an integer number (78610176).

Almost surely, 2^3667628910 is an apocalyptic number.

3667628910 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3667628910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031051264).

3667628910 is an abundant number, since it is smaller than the sum of its proper divisors (6394473618).

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

3667628910 is a wasteful number, since it uses less digits than its factorization.

3667628910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470.

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 3667628910 is about 60560.9520235605. The cubic root of 3667628910 is about 1542.1565488451.

The spelling of 3667628910 in words is "three billion, six hundred sixty-seven million, six hundred twenty-eight thousand, nine hundred ten".