350877420 has 288 divisors, whose sum is σ = 1194665472. Its totient is φ = 86220288.

The previous prime is 350877403. The next prime is 350877451. The reversal of 350877420 is 24778053.

It is a super-2 number, since 2×350877420² = 246229927731712800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4806504 + ... + 4806576.

It is an arithmetic number, because the mean of its divisors is an integer number (4148144).

Almost surely, 2^350877420 is an apocalyptic number.

350877420 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 350877420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597332736).

350877420 is an abundant number, since it is smaller than the sum of its proper divisors (843788052).

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

350877420 is a wasteful number, since it uses less digits than its factorization.

350877420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 350877420 is about 18731.7222913431. The cubic root of 350877420 is about 705.3182809131.

The spelling of 350877420 in words is "three hundred fifty million, eight hundred seventy-seven thousand, four hundred twenty".