3706638012 has 288 divisors, whose sum is σ = 12098870784. Its totient is φ = 936714240.

The previous prime is 3706637981. The next prime is 3706638017. The reversal of 3706638012 is 2108366073.

It is a happy number.

3706638012 is a `hidden beast` number, since 3 + 7 + 0 + 6 + 638 + 0 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3706638017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14422588 + ... + 14422844.

It is an arithmetic number, because the mean of its divisors is an integer number (42009968).

Almost surely, 2^3706638012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3706638012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049435392).

3706638012 is an abundant number, since it is smaller than the sum of its proper divisors (8392232772).

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

3706638012 is a wasteful number, since it uses less digits than its factorization.

3706638012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3706638012 is about 60882.1649746459. The cubic root of 3706638012 is about 1547.6047655920.

It can be divided in two parts, 37066 and 38012, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 3706638012 in words is "three billion, seven hundred six million, six hundred thirty-eight thousand, twelve".