35538840 has 96 divisors (see below), whose sum is σ = 122316480. Its totient is φ = 8918016.

The previous prime is 35538829. The next prime is 35538847. The reversal of 35538840 is 4883553.

It is a super-3 number, since 3×35538840³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 35538795 and 35538804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35538847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3217 + ... + 9023.

It is an arithmetic number, because the mean of its divisors is an integer number (1274130).

Almost surely, 2^35538840 is an apocalyptic number.

35538840 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 35538840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61158240).

35538840 is an abundant number, since it is smaller than the sum of its proper divisors (86777640).

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

35538840 is a wasteful number, since it uses less digits than its factorization.

35538840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 35538840 is about 5961.4461332801. The cubic root of 35538840 is about 328.7767383689.

The spelling of 35538840 in words is "thirty-five million, five hundred thirty-eight thousand, eight hundred forty".