350033400 has 480 divisors, whose sum is σ = 1361162880. Its totient is φ = 82944000.

The previous prime is 350033399. The next prime is 350033401. The reversal of 350033400 is 4330053.

It is a happy number.

350033400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (350033399) and next prime (350033401).

It is a super-2 number, since 2×350033400² = 245046762231120000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350033401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8537380 + ... + 8537420.

It is an arithmetic number, because the mean of its divisors is an integer number (2835756).

Almost surely, 2^350033400 is an apocalyptic number.

350033400 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 350033400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680581440).

350033400 is an abundant number, since it is smaller than the sum of its proper divisors (1011129480).

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

350033400 is a wasteful number, since it uses less digits than its factorization.

350033400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 350033400 is about 18709.1795651226. The cubic root of 350033400 is about 704.7522896151.

Adding to 350033400 its reverse (4330053), we get a palindrome (354363453).

The spelling of 350033400 in words is "three hundred fifty million, thirty-three thousand, four hundred".