350836920 has 320 divisors, whose sum is σ = 1393920000. Its totient is φ = 77448960.

The previous prime is 350836909. The next prime is 350836921. The reversal of 350836920 is 29638053.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350836921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 702831 + ... + 703329.

It is an arithmetic number, because the mean of its divisors is an integer number (4356000).

Almost surely, 2^350836920 is an apocalyptic number.

350836920 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 350836920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696960000).

350836920 is an abundant number, since it is smaller than the sum of its proper divisors (1043083080).

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

350836920 is a wasteful number, since it uses less digits than its factorization.

350836920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 350836920 is about 18730.6412063229. The cubic root of 350836920 is about 705.2911427656.

The spelling of 350836920 in words is "three hundred fifty million, eight hundred thirty-six thousand, nine hundred twenty".