387043450200000 has 4032 divisors, whose sum is σ = 1620418826557440. Its totient is φ = 91609056000000.

The previous prime is 387043450199963. The next prime is 387043450200079. The reversal of 387043450200000 is 2054340783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3757703399949 + ... + 3757703400051.

It is an arithmetic number, because the mean of its divisors is an integer number (401889589920).

Almost surely, 2^{387043450200000} is an apocalyptic number.

387043450200000 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 387043450200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810209413278720).

387043450200000 is an abundant number, since it is smaller than the sum of its proper divisors (1233375376357440).

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

387043450200000 is an frugal number, since it uses more digits than its factorization.

387043450200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 387043450200000 in words is "three hundred eighty-seven trillion, forty-three billion, four hundred fifty million, two hundred thousand".