350535034520400 has 240 divisors, whose sum is σ = 1171723958616960. Its totient is φ = 89410117632000.

The previous prime is 350535034520347. The next prime is 350535034520459. The reversal of 350535034520400 is 4025430535053.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2078996100 + ... + 2079164700.

It is an arithmetic number, because the mean of its divisors is an integer number (4882183160904).

Almost surely, 2^{350535034520400} is an apocalyptic number.

350535034520400 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 350535034520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585861979308480).

350535034520400 is an abundant number, since it is smaller than the sum of its proper divisors (821188924096560).

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

350535034520400 is a wasteful number, since it uses less digits than its factorization.

350535034520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243974 (or 243963 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 39.

The spelling of 350535034520400 in words is "three hundred fifty trillion, five hundred thirty-five billion, thirty-four million, five hundred twenty thousand, four hundred".