3697315928064 has 864 divisors, whose sum is σ = 12357027446400. Its totient is φ = 1062744883200.

The previous prime is 3697315927979. The next prime is 3697315928099. The reversal of 3697315928064 is 4608295137963.

3697315928064 is a `hidden beast` number, since 3 + 6 + 9 + 7 + 31 + 592 + 8 + 0 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3697315927992 and 3697315928010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3664336392 + ... + 3664337400.

It is an arithmetic number, because the mean of its divisors is an integer number (14302115100).

It is a 1-persistent number, because it is pandigital, but 2⋅3697315928064 = 7394631856128 is not.

Almost surely, 2^{3697315928064} 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 3697315928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6178513723200).

3697315928064 is an abundant number, since it is smaller than the sum of its proper divisors (8659711518336).

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

3697315928064 is a wasteful number, since it uses less digits than its factorization.

3697315928064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 3697315928064 in words is "three trillion, six hundred ninety-seven billion, three hundred fifteen million, nine hundred twenty-eight thousand, sixty-four".