3664661253000 has 512 divisors, whose sum is σ = 13227769152000. Its totient is φ = 834822144000.

The previous prime is 3664661252957. The next prime is 3664661253037. The reversal of 3664661253000 is 3521664663.

It is a happy number.

3664661253000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 379792176 + ... + 379801824.

It is an arithmetic number, because the mean of its divisors is an integer number (25835486625).

Almost surely, 2^{3664661253000} is an apocalyptic number.

3664661253000 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 3664661253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6613884576000).

3664661253000 is an abundant number, since it is smaller than the sum of its proper divisors (9563107899000).

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

3664661253000 is a wasteful number, since it uses less digits than its factorization.

3664661253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10378 (or 10364 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 3664661253000 in words is "three trillion, six hundred sixty-four billion, six hundred sixty-one million, two hundred fifty-three thousand".