350689920 has 256 divisors, whose sum is σ = 1295481600. Its totient is φ = 79036416.

The previous prime is 350689903. The next prime is 350689961. The reversal of 350689920 is 29986053.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1303546 + ... + 1303814.

It is an arithmetic number, because the mean of its divisors is an integer number (5060475).

Almost surely, 2^350689920 is an apocalyptic number.

350689920 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 350689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647740800).

350689920 is an abundant number, since it is smaller than the sum of its proper divisors (944791680).

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

350689920 is a wasteful number, since it uses less digits than its factorization.

350689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 350689920 is about 18726.7167437327. The cubic root of 350689920 is about 705.1926237903.

The spelling of 350689920 in words is "three hundred fifty million, six hundred eighty-nine thousand, nine hundred twenty".