35138220 has 96 divisors (see below), whose sum is σ = 111578880. Its totient is φ = 8190720.

The previous prime is 35138209. The next prime is 35138231. The reversal of 35138220 is 2283153.

It is an interprime number because it is at equal distance from previous prime (35138209) and next prime (35138231).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13635 + ... + 16005.

It is an arithmetic number, because the mean of its divisors is an integer number (1162280).

Almost surely, 2^35138220 is an apocalyptic number.

35138220 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 35138220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55789440).

35138220 is an abundant number, since it is smaller than the sum of its proper divisors (76440660).

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

35138220 is a wasteful number, since it uses less digits than its factorization.

35138220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 35138220 is about 5927.7499947282. The cubic root of 35138220 is about 327.5366623681.

The spelling of 35138220 in words is "thirty-five million, one hundred thirty-eight thousand, two hundred twenty".