35384020 has 72 divisors (see below), whose sum is σ = 88083072. Its totient is φ = 11695680.

The previous prime is 35384003. The next prime is 35384033. The reversal of 35384020 is 2048353.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134409 + ... + 134671.

It is an arithmetic number, because the mean of its divisors is an integer number (1223376).

Almost surely, 2^35384020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35384020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44041536).

35384020 is an abundant number, since it is smaller than the sum of its proper divisors (52699052).

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

35384020 is a wasteful number, since it uses less digits than its factorization.

35384020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 35384020 is about 5948.4468561129. The cubic root of 35384020 is about 328.2986200743.

The spelling of 35384020 in words is "thirty-five million, three hundred eighty-four thousand, twenty".