3756005064 has 192 divisors, whose sum is σ = 12550636800. Its totient is φ = 991001088.

The previous prime is 3756005053. The next prime is 3756005081. The reversal of 3756005064 is 4605006573.

3756005064 is a `hidden beast` number, since 37 + 560 + 0 + 5 + 0 + 64 = 666.

3756005064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 330582 + ... + 341754.

It is an arithmetic number, because the mean of its divisors is an integer number (65367900).

Almost surely, 2^3756005064 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 3756005064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6275318400).

3756005064 is an abundant number, since it is smaller than the sum of its proper divisors (8794631736).

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

3756005064 is a wasteful number, since it uses less digits than its factorization.

3756005064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11244 (or 11237 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3756005064 is about 61286.2550985129. The cubic root of 3756005064 is about 1554.4451053759.

The spelling of 3756005064 in words is "three billion, seven hundred fifty-six million, five thousand, sixty-four".