3669837696 has 192 divisors, whose sum is σ = 12216597120. Its totient is φ = 1035703296.

The previous prime is 3669837649. The next prime is 3669837733. The reversal of 3669837696 is 6967389663.

3669837696 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666571 + ... + 672053.

It is an arithmetic number, because the mean of its divisors is an integer number (63628110).

Almost surely, 2^3669837696 is an apocalyptic number.

3669837696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3669837696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6108298560).

3669837696 is an abundant number, since it is smaller than the sum of its proper divisors (8546759424).

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

3669837696 is a wasteful number, since it uses less digits than its factorization.

3669837696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5593 (or 5578 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 63.

The square root of 3669837696 is about 60579.1853362192. The cubic root of 3669837696 is about 1542.4660685472.

The spelling of 3669837696 in words is "three billion, six hundred sixty-nine million, eight hundred thirty-seven thousand, six hundred ninety-six".