350773920 has 576 divisors, whose sum is σ = 1528450560. Its totient is φ = 71368704.

The previous prime is 350773849. The next prime is 350773921. The reversal of 350773920 is 29377053.

It is a happy number.

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 (350773921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3941236 + ... + 3941324.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 2^350773920 is an apocalyptic number.

350773920 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 350773920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764225280).

350773920 is an abundant number, since it is smaller than the sum of its proper divisors (1177676640).

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

350773920 is a wasteful number, since it uses less digits than its factorization.

350773920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 350773920 is about 18728.9593944778. The cubic root of 350773920 is about 705.2489237180.

The spelling of 350773920 in words is "three hundred fifty million, seven hundred seventy-three thousand, nine hundred twenty".