3706188768 has 288 divisors, whose sum is σ = 11764116000. Its totient is φ = 1101496320.

The previous prime is 3706188737. The next prime is 3706188793. The reversal of 3706188768 is 8678816073.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7426983 + ... + 7427481.

It is an arithmetic number, because the mean of its divisors is an integer number (40847625).

Almost surely, 2^3706188768 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 3706188768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882058000).

3706188768 is an abundant number, since it is smaller than the sum of its proper divisors (8057927232).

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

3706188768 is a wasteful number, since it uses less digits than its factorization.

3706188768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 3706188768 is about 60878.4754079798. The cubic root of 3706188768 is about 1547.5422399067.

The spelling of 3706188768 in words is "three billion, seven hundred six million, one hundred eighty-eight thousand, seven hundred sixty-eight".