35379216 has 120 divisors (see below), whose sum is σ = 106327520. Its totient is φ = 10948608.

The previous prime is 35379209. The next prime is 35379241. The reversal of 35379216 is 61297353.

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183216 + ... + 183408.

Almost surely, 2^35379216 is an apocalyptic number.

35379216 is a gapful number since it is divisible by the number (36) 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 35379216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53163760).

35379216 is an abundant number, since it is smaller than the sum of its proper divisors (70948304).

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

35379216 is a wasteful number, since it uses less digits than its factorization.

35379216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 284 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 35379216 is about 5948.0430395215. The cubic root of 35379216 is about 328.2837619740.

The spelling of 35379216 in words is "thirty-five million, three hundred seventy-nine thousand, two hundred sixteen".