390003120 has 640 divisors, whose sum is σ = 1649894400. Its totient is φ = 83607552.

The previous prime is 390003109. The next prime is 390003127. The reversal of 390003120 is 21300093.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 390003093 and 390003102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390003127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9069819 + ... + 9069861.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^390003120 is an apocalyptic number.

390003120 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 390003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824947200).

390003120 is an abundant number, since it is smaller than the sum of its proper divisors (1259891280).

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

390003120 is a wasteful number, since it uses less digits than its factorization.

390003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 390003120 is about 19748.4966516441. The cubic root of 390003120 is about 730.6163057060.

The spelling of 390003120 in words is "three hundred ninety million, three thousand, one hundred twenty".