35398344960 has 432 divisors, whose sum is σ = 134649889920. Its totient is φ = 8514600960.

The previous prime is 35398344923. The next prime is 35398344997. The reversal of 35398344960 is 6944389353.

35398344960 is a `hidden beast` number, since 3 + 53 + 98 + 3 + 449 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (35398344923) and next prime (35398344997).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 35398344897 and 35398344906.

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, 17359621 + ... + 17361659.

It is an arithmetic number, because the mean of its divisors is an integer number (311689560).

Almost surely, 2^35398344960 is an apocalyptic number.

35398344960 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 35398344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67324944960).

35398344960 is an abundant number, since it is smaller than the sum of its proper divisors (99251544960).

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

35398344960 is a wasteful number, since it uses less digits than its factorization.

35398344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 35398344960 in words is "thirty-five billion, three hundred ninety-eight million, three hundred forty-four thousand, nine hundred sixty".