380036610000 has 500 divisors, whose sum is σ = 1392113131200. Its totient is φ = 100043424000.

The previous prime is 380036609989. The next prime is 380036610061. The reversal of 380036610000 is 16630083.

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 63987031 + ... + 63992969.

Almost surely, 2^380036610000 is an apocalyptic number.

380036610000 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 380036610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696056565600).

380036610000 is an abundant number, since it is smaller than the sum of its proper divisors (1012076521200).

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

380036610000 is an equidigital number, since it uses as much as digits as its factorization.

380036610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6058 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 380036610000 in words is "three hundred eighty billion, thirty-six million, six hundred ten thousand".