3763736064 has 320 divisors, whose sum is σ = 12409562880. Its totient is φ = 1116610560.

The previous prime is 3763736047. The next prime is 3763736069. The reversal of 3763736064 is 4606373673.

3763736064 is a `hidden beast` number, since 3 + 7 + 6 + 37 + 3 + 606 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3763736069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8059159 + ... + 8059625.

It is an arithmetic number, because the mean of its divisors is an integer number (38779884).

Almost surely, 2^3763736064 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 3763736064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6204781440).

3763736064 is an abundant number, since it is smaller than the sum of its proper divisors (8645826816).

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

3763736064 is a wasteful number, since it uses less digits than its factorization.

3763736064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

The square root of 3763736064 is about 61349.2955460778. The cubic root of 3763736064 is about 1555.5108813051.

The spelling of 3763736064 in words is "three billion, seven hundred sixty-three million, seven hundred thirty-six thousand, sixty-four".