3672258090000 has 200 divisors, whose sum is σ = 11933060348352. Its totient is φ = 972782400000.

The previous prime is 3672258089999. The next prime is 3672258090043. The reversal of 3672258090000 is 908522763.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4124674 + ... + 4935326.

Almost surely, 2^{3672258090000} is an apocalyptic number.

3672258090000 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 3672258090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966530174176).

3672258090000 is an abundant number, since it is smaller than the sum of its proper divisors (8260802258352).

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

3672258090000 is a wasteful number, since it uses less digits than its factorization.

3672258090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810835 (or 810814 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 3672258090000 in words is "three trillion, six hundred seventy-two billion, two hundred fifty-eight million, ninety thousand".