350379000 has 256 divisors, whose sum is σ = 1280448000. Its totient is φ = 88387200.

The previous prime is 350378947. The next prime is 350379017. The reversal of 350379000 is 973053.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 512659 + ... + 513341.

It is an arithmetic number, because the mean of its divisors is an integer number (5001750).

Almost surely, 2^350379000 is an apocalyptic number.

350379000 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 350379000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640224000).

350379000 is an abundant number, since it is smaller than the sum of its proper divisors (930069000).

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

350379000 is a wasteful number, since it uses less digits than its factorization.

350379000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 712 counting only the distinct ones).

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

The square root of 350379000 is about 18718.4133943024. The cubic root of 350379000 is about 704.9841553705.

The spelling of 350379000 in words is "three hundred fifty million, three hundred seventy-nine thousand".