34779420 has 144 divisors (see below), whose sum is σ = 115577280. Its totient is φ = 8414208.

The previous prime is 34779413. The next prime is 34779449. The reversal of 34779420 is 2497743.

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, 208177 + ... + 208343.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 2^34779420 is an apocalyptic number.

34779420 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 34779420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57788640).

34779420 is an abundant number, since it is smaller than the sum of its proper divisors (80797860).

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

34779420 is a wasteful number, since it uses less digits than its factorization.

34779420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 34779420 is about 5897.4079051733. The cubic root of 34779420 is about 326.4180092067.

The spelling of 34779420 in words is "thirty-four million, seven hundred seventy-nine thousand, four hundred twenty".