3727689378504 has 512 divisors, whose sum is σ = 12185955532800. Its totient is φ = 922748682240.

The previous prime is 3727689378467. The next prime is 3727689378521. The reversal of 3727689378504 is 4058739867273.

It is a super-2 number, since 2×3727689378504² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2534118489 + ... + 2534119959.

It is an arithmetic number, because the mean of its divisors is an integer number (23800694400).

Almost surely, 2^{3727689378504} 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 3727689378504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6092977766400).

3727689378504 is an abundant number, since it is smaller than the sum of its proper divisors (8458266154296).

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

3727689378504 is a wasteful number, since it uses less digits than its factorization.

3727689378504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 69.

The spelling of 3727689378504 in words is "three trillion, seven hundred twenty-seven billion, six hundred eighty-nine million, three hundred seventy-eight thousand, five hundred four".