3689256734900 has 144 divisors (see below), whose sum is σ = 9199385160000. Its totient is φ = 1270075852800.

The previous prime is 3689256734887. The next prime is 3689256734921. The reversal of 3689256734900 is 94376529863.

It is a super-2 number, since 2×3689256734900² (a number of 26 digits) contains 22 as substring.

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, 31060826 + ... + 31179374.

Almost surely, 2^{3689256734900} 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 3689256734900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599692580000).

3689256734900 is an abundant number, since it is smaller than the sum of its proper divisors (5510128425100).

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

3689256734900 is a wasteful number, since it uses less digits than its factorization.

3689256734900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120082 (or 120075 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 62.

The spelling of 3689256734900 in words is "three trillion, six hundred eighty-nine billion, two hundred fifty-six million, seven hundred thirty-four thousand, nine hundred".