35238240 has 120 divisors (see below), whose sum is σ = 124407360. Its totient is φ = 9393408.

The previous prime is 35238211. The next prime is 35238241. The reversal of 35238240 is 4283253.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35238241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11601 + ... + 14319.

It is an arithmetic number, because the mean of its divisors is an integer number (1036728).

Almost surely, 2^35238240 is an apocalyptic number.

35238240 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 35238240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62203680).

35238240 is an abundant number, since it is smaller than the sum of its proper divisors (89169120).

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

35238240 is a wasteful number, since it uses less digits than its factorization.

35238240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 35238240 is about 5936.1805902449. The cubic root of 35238240 is about 327.8471427352.

The spelling of 35238240 in words is "thirty-five million, two hundred thirty-eight thousand, two hundred forty".