35420503204350 has 768 divisors, whose sum is σ = 111949954744320. Its totient is φ = 8151295680000.

The previous prime is 35420503204349. The next prime is 35420503204379. The reversal of 35420503204350 is 5340230502453.

35420503204350 is a `hidden beast` number, since 3 + 5 + 42 + 0 + 503 + 20 + 43 + 50 = 666.

35420503204350 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×35420503204350³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35742182355 + ... + 35742183345.

It is an arithmetic number, because the mean of its divisors is an integer number (145768170240).

Almost surely, 2^{35420503204350} is an apocalyptic number.

35420503204350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35420503204350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55974977372160).

35420503204350 is an abundant number, since it is smaller than the sum of its proper divisors (76529451539970).

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

35420503204350 is a wasteful number, since it uses less digits than its factorization.

35420503204350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 35420503204350 in words is "thirty-five trillion, four hundred twenty billion, five hundred three million, two hundred four thousand, three hundred fifty".