350633640 has 128 divisors (see below), whose sum is σ = 1231614720. Its totient is φ = 78182400.

The previous prime is 350633629. The next prime is 350633641. The reversal of 350633640 is 46336053.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 350633598 and 350633607.

It is not an unprimeable number, because it can be changed into a prime (350633641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29350 + ... + 39530.

It is an arithmetic number, because the mean of its divisors is an integer number (9621990).

Almost surely, 2^350633640 is an apocalyptic number.

350633640 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 350633640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615807360).

350633640 is an abundant number, since it is smaller than the sum of its proper divisors (880981080).

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

350633640 is a wasteful number, since it uses less digits than its factorization.

350633640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10243 (or 10239 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 350633640 is about 18725.2140174685. The cubic root of 350633640 is about 705.1548978089.

Adding to 350633640 its reverse (46336053), we get a palindrome (396969693).

The spelling of 350633640 in words is "three hundred fifty million, six hundred thirty-three thousand, six hundred forty".