350066640 has 320 divisors, whose sum is σ = 1425623040. Its totient is φ = 68843520.

The previous prime is 350066603. The next prime is 350066641. The reversal of 350066640 is 46660053.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 350066598 and 350066607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350066641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350622 + ... + 351618.

It is an arithmetic number, because the mean of its divisors is an integer number (4455072).

Almost surely, 2^350066640 is an apocalyptic number.

350066640 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 350066640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712811520).

350066640 is an abundant number, since it is smaller than the sum of its proper divisors (1075556400).

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

350066640 is a wasteful number, since it uses less digits than its factorization.

350066640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 350066640 is about 18710.0678780169. The cubic root of 350066640 is about 704.7745972241.

The spelling of 350066640 in words is "three hundred fifty million, sixty-six thousand, six hundred forty".