3752612064 has 288 divisors, whose sum is σ = 11735085600. Its totient is φ = 1179650304.

The previous prime is 3752612057. The next prime is 3752612089. The reversal of 3752612064 is 4602162573.

3752612064 is a `hidden beast` number, since 3 + 7 + 526 + 120 + 6 + 4 = 666.

3752612064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

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, 87270027 + ... + 87270069.

It is an arithmetic number, because the mean of its divisors is an integer number (40746825).

Almost surely, 2^3752612064 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 3752612064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867542800).

3752612064 is an abundant number, since it is smaller than the sum of its proper divisors (7982473536).

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

3752612064 is an frugal number, since it uses more digits than its factorization.

3752612064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3752612064 is about 61258.5672702194. The cubic root of 3752612064 is about 1553.9768932627.

The spelling of 3752612064 in words is "three billion, seven hundred fifty-two million, six hundred twelve thousand, sixty-four".