350138880 has 480 divisors, whose sum is σ = 1501403904. Its totient is φ = 73433088.

The previous prime is 350138849. The next prime is 350138909. The reversal of 350138880 is 88831053.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2096557 + ... + 2096723.

Almost surely, 2^350138880 is an apocalyptic number.

350138880 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 350138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750701952).

350138880 is an abundant number, since it is smaller than the sum of its proper divisors (1151265024).

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

350138880 is a wasteful number, since it uses less digits than its factorization.

350138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 350138880 is about 18711.9982898674. The cubic root of 350138880 is about 704.8230731516.

The spelling of 350138880 in words is "three hundred fifty million, one hundred thirty-eight thousand, eight hundred eighty".