3669014880 has 240 divisors, whose sum is σ = 13081433904. Its totient is φ = 968371200.

The previous prime is 3669014879. The next prime is 3669014897. The reversal of 3669014880 is 884109663.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3669014880² = 26923340379322828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1307559 + ... + 1310361.

Almost surely, 2^3669014880 is an apocalyptic number.

3669014880 is a gapful number since it is divisible by the number (30) 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 3669014880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540716952).

3669014880 is an abundant number, since it is smaller than the sum of its proper divisors (9412419024).

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

3669014880 is a wasteful number, since it uses less digits than its factorization.

3669014880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3669014880 is about 60572.3937119873. The cubic root of 3669014880 is about 1542.3507809214.

The spelling of 3669014880 in words is "three billion, six hundred sixty-nine million, fourteen thousand, eight hundred eighty".