35398790309880 has 768 divisors, whose sum is σ = 127202022604800. Its totient is φ = 8508047708160.

The previous prime is 35398790309849. The next prime is 35398790309881. The reversal of 35398790309880 is 8890309789353.

It is a happy number.

35398790309880 is a `hidden beast` number, since 3 + 5 + 398 + 79 + 0 + 3 + 0 + 98 + 80 = 666.

It is a super-2 number, since 2×35398790309880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 35398790309799 and 35398790309808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35398790309881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2430727479 + ... + 2430742041.

It is an arithmetic number, because the mean of its divisors is an integer number (165627633600).

Almost surely, 2^{35398790309880} is an apocalyptic number.

35398790309880 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 35398790309880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63601011302400).

35398790309880 is an abundant number, since it is smaller than the sum of its proper divisors (91803232294920).

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

35398790309880 is a wasteful number, since it uses less digits than its factorization.

35398790309880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14876 (or 14869 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 35398790309880 in words is "thirty-five trillion, three hundred ninety-eight billion, seven hundred ninety million, three hundred nine thousand, eight hundred eighty".