350408044008 has 384 divisors, whose sum is σ = 1129355136000. Its totient is φ = 100313769600.

The previous prime is 350408044003. The next prime is 350408044009. The reversal of 350408044008 is 800440804053.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (350408044003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231903973 + ... + 231905483.

It is an arithmetic number, because the mean of its divisors is an integer number (2941029000).

Almost surely, 2^350408044008 is an apocalyptic number.

350408044008 is a gapful number since it is divisible by the number (38) 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 350408044008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564677568000).

350408044008 is an abundant number, since it is smaller than the sum of its proper divisors (778947091992).

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

350408044008 is a wasteful number, since it uses less digits than its factorization.

350408044008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 350408044008 in words is "three hundred fifty billion, four hundred eight million, forty-four thousand, eight".