350140480704 has 420 divisors, whose sum is σ = 1214306841384. Its totient is φ = 100029468672.

The previous prime is 350140480673. The next prime is 350140480717. The reversal of 350140480704 is 407084041053.

350140480704 is a `hidden beast` number, since 3 + 501 + 4 + 0 + 4 + 80 + 70 + 4 = 666.

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 59 ways as a sum of consecutive naturals, for example, 37335664 + ... + 37345040.

Almost surely, 2^350140480704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350140480704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607153420692).

350140480704 is an abundant number, since it is smaller than the sum of its proper divisors (864166360680).

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

350140480704 is an frugal number, since it uses more digits than its factorization.

350140480704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9432 (or 9389 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 350140480704 in words is "three hundred fifty billion, one hundred forty million, four hundred eighty thousand, seven hundred four".