3668499072 has 576 divisors, whose sum is σ = 13332664800. Its totient is φ = 999806976.

The previous prime is 3668499047. The next prime is 3668499091. The reversal of 3668499072 is 2709948663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3668499072² = 26915770882529722368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44198743 + ... + 44198825.

Almost surely, 2^3668499072 is an apocalyptic number.

3668499072 is a gapful number since it is divisible by the number (32) 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 3668499072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666332400).

3668499072 is an abundant number, since it is smaller than the sum of its proper divisors (9664165728).

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

3668499072 is an equidigital number, since it uses as much as digits as its factorization.

3668499072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3668499072 is about 60568.1357811184. The cubic root of 3668499072 is about 1542.2785004699.

The spelling of 3668499072 in words is "three billion, six hundred sixty-eight million, four hundred ninety-nine thousand, seventy-two".