350040064 has 104 divisors (see below), whose sum is σ = 810319248. Its totient is φ = 149422080.

The previous prime is 350040007. The next prime is 350040077. The reversal of 350040064 is 460040053.

It is a super-3 number, since 3×350040064³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 765724 + ... + 766180.

Almost surely, 2^350040064 is an apocalyptic number.

350040064 is a gapful number since it is divisible by the number (34) 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 350040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405159624).

350040064 is an abundant number, since it is smaller than the sum of its proper divisors (460279184).

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

350040064 is a wasteful number, since it uses less digits than its factorization.

350040064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 350040064 is about 18709.3576586691. The cubic root of 350040064 is about 704.7567619878.

The spelling of 350040064 in words is "three hundred fifty million, forty thousand, sixty-four".