390008934 has 216 divisors, whose sum is σ = 1125993960. Its totient is φ = 96671232.

The previous prime is 390008909. The next prime is 390008981. The reversal of 390008934 is 439800093.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10540764 + ... + 10540800.

It is an arithmetic number, because the mean of its divisors is an integer number (5212935).

Almost surely, 2^390008934 is an apocalyptic number.

390008934 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 390008934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562996980).

390008934 is an abundant number, since it is smaller than the sum of its proper divisors (735985026).

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

390008934 is a wasteful number, since it uses less digits than its factorization.

390008934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 390008934 is about 19748.6438521737. The cubic root of 390008934 is about 730.6199362600.

The spelling of 390008934 in words is "three hundred ninety million, eight thousand, nine hundred thirty-four".