35460397104 has 240 divisors, whose sum is σ = 106664708736. Its totient is φ = 10065305600.

The previous prime is 35460397103. The next prime is 35460397109. The reversal of 35460397104 is 40179306453.

It is not an unprimeable number, because it can be changed into a prime (35460397103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42877939 + ... + 42878765.

Almost surely, 2^35460397104 is an apocalyptic number.

35460397104 is a gapful number since it is divisible by the number (34) 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 35460397104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53332354368).

35460397104 is an abundant number, since it is smaller than the sum of its proper divisors (71204311632).

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

35460397104 is a wasteful number, since it uses less digits than its factorization.

35460397104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 35460397104 in words is "thirty-five billion, four hundred sixty million, three hundred ninety-seven thousand, one hundred four".