35538552 has 96 divisors (see below), whose sum is σ = 111196800. Its totient is φ = 10043712.

The previous prime is 35538523. The next prime is 35538557. The reversal of 35538552 is 25583553.

It is a super-3 number, since 3×35538552³ (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (35538557) 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, 53599 + ... + 54257.

It is an arithmetic number, because the mean of its divisors is an integer number (1158300).

Almost surely, 2^35538552 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 35538552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55598400).

35538552 is an abundant number, since it is smaller than the sum of its proper divisors (75658248).

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

35538552 is a wasteful number, since it uses less digits than its factorization.

35538552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 778 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 35538552 is about 5961.4219780183. The cubic root of 35538552 is about 328.7758502518.

The spelling of 35538552 in words is "thirty-five million, five hundred thirty-eight thousand, five hundred fifty-two".