3669891456 has 512 divisors, whose sum is σ = 13219200000. Its totient is φ = 891125760.

The previous prime is 3669891451. The next prime is 3669891479. The reversal of 3669891456 is 6541989663.

It is a junction number, because it is equal to n+sod(n) for n = 3669891396 and 3669891405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3669891451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24630070 + ... + 24630218.

It is an arithmetic number, because the mean of its divisors is an integer number (25818750).

Almost surely, 2^3669891456 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 3669891456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609600000).

3669891456 is an abundant number, since it is smaller than the sum of its proper divisors (9549308544).

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

3669891456 is a wasteful number, since it uses less digits than its factorization.

3669891456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 189 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 57.

The square root of 3669891456 is about 60579.6290513569. The cubic root of 3669891456 is about 1542.4736004490.

The spelling of 3669891456 in words is "three billion, six hundred sixty-nine million, eight hundred ninety-one thousand, four hundred fifty-six".