350007000 has 192 divisors, whose sum is σ = 1270844640. Its totient is φ = 79968000.

The previous prime is 350006981. The next prime is 350007079. The reversal of 350007000 is 700053.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145810 + ... + 148190.

Almost surely, 2^350007000 is an apocalyptic number.

350007000 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 350007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635422320).

350007000 is an abundant number, since it is smaller than the sum of its proper divisors (920837640).

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

350007000 is a wasteful number, since it uses less digits than its factorization.

350007000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 350007000 is about 18708.4740158036. The cubic root of 350007000 is about 704.7345713743.

Adding to 350007000 its reverse (700053), we get a palindrome (350707053).

The spelling of 350007000 in words is "three hundred fifty million, seven thousand".