35138880 has 336 divisors, whose sum is σ = 145938240. Its totient is φ = 7934976.

The previous prime is 35138861. The next prime is 35138893. The reversal of 35138880 is 8883153.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423319 + ... + 423401.

It is an arithmetic number, because the mean of its divisors is an integer number (434340).

Almost surely, 2^35138880 is an apocalyptic number.

35138880 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 35138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72969120).

35138880 is an abundant number, since it is smaller than the sum of its proper divisors (110799360).

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

35138880 is a wasteful number, since it uses less digits than its factorization.

35138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 35138880 is about 5927.8056648308. The cubic root of 35138880 is about 327.5387130586.

The spelling of 35138880 in words is "thirty-five million, one hundred thirty-eight thousand, eight hundred eighty".