390084129072 has 320 divisors, whose sum is σ = 1257219532800. Its totient is φ = 114796903680.

The previous prime is 390084129049. The next prime is 390084129079. The reversal of 390084129072 is 270921480093.

It is not an unprimeable number, because it can be changed into a prime (390084129079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23262163 + ... + 23278925.

It is an arithmetic number, because the mean of its divisors is an integer number (3928811040).

Almost surely, 2^390084129072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390084129072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628609766400).

390084129072 is an abundant number, since it is smaller than the sum of its proper divisors (867135403728).

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

390084129072 is a wasteful number, since it uses less digits than its factorization.

390084129072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16933 (or 16921 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 390084129072 in words is "three hundred ninety billion, eighty-four million, one hundred twenty-nine thousand, seventy-two".