35381952 has 168 divisors, whose sum is σ = 110550960. Its totient is φ = 10782720.

The previous prime is 35381939. The next prime is 35381959. The reversal of 35381952 is 25918353.

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

It is not an unprimeable number, because it can be changed into a prime (35381959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580002 + ... + 580062.

Almost surely, 2^35381952 is an apocalyptic number.

35381952 is a gapful number since it is divisible by the number (32) 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 35381952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55275480).

35381952 is an abundant number, since it is smaller than the sum of its proper divisors (75169008).

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

35381952 is a wasteful number, since it uses less digits than its factorization.

35381952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 35381952 is about 5948.2730266860. The cubic root of 35381952 is about 328.2922242043.

The spelling of 35381952 in words is "thirty-five million, three hundred eighty-one thousand, nine hundred fifty-two".