35409920364 has 648 divisors, whose sum is σ = 123737528880. Its totient is φ = 8725377024.

The previous prime is 35409920353. The next prime is 35409920389. The reversal of 35409920364 is 46302990453.

35409920364 is a `hidden beast` number, since 35 + 409 + 9 + 203 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 258466504 + ... + 258466640.

Almost surely, 2^35409920364 is an apocalyptic number.

35409920364 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 35409920364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61868764440).

35409920364 is an abundant number, since it is smaller than the sum of its proper divisors (88327608516).

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

35409920364 is a wasteful number, since it uses less digits than its factorization.

35409920364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 35409920364 in words is "thirty-five billion, four hundred nine million, nine hundred twenty thousand, three hundred sixty-four".