3769706304 has 560 divisors, whose sum is σ = 14085515136. Its totient is φ = 970444800.

The previous prime is 3769706273. The next prime is 3769706309. The reversal of 3769706304 is 4036079673.

3769706304 is a `hidden beast` number, since 3 + 7 + 6 + 9 + 7 + 0 + 630 + 4 = 666.

It is a super-3 number, since 3×3769706304³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3769706304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3769706309) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28776319 + ... + 28776449.

Almost surely, 2^3769706304 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 3769706304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7042757568).

3769706304 is an abundant number, since it is smaller than the sum of its proper divisors (10315808832).

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

3769706304 is a wasteful number, since it uses less digits than its factorization.

3769706304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 3769706304 is about 61397.9340369039. The cubic root of 3769706304 is about 1556.3329250630.

The spelling of 3769706304 in words is "three billion, seven hundred sixty-nine million, seven hundred six thousand, three hundred four".