390075300 has 108 divisors (see below), whose sum is σ = 1230633040. Its totient is φ = 103343040.

The previous prime is 390075299. The next prime is 390075313. The reversal of 390075300 is 3570093.

It is a super-3 number, since 3×390075300³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145371 + ... + 148029.

Almost surely, 2^390075300 is an apocalyptic number.

390075300 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 390075300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615316520).

390075300 is an abundant number, since it is smaller than the sum of its proper divisors (840557740).

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

390075300 is a wasteful number, since it uses less digits than its factorization.

390075300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 390075300 is about 19750.3240479745. The cubic root of 390075300 is about 730.6613759710.

The spelling of 390075300 in words is "three hundred ninety million, seventy-five thousand, three hundred".