34787016 has 96 divisors (see below), whose sum is σ = 106293600. Its totient is φ = 10541520.

The previous prime is 34787009. The next prime is 34787029. The reversal of 34787016 is 61078743.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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, 3162451 + ... + 3162461.

It is an arithmetic number, because the mean of its divisors is an integer number (1107225).

Almost surely, 2^34787016 is an apocalyptic number.

34787016 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 34787016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53146800).

34787016 is an abundant number, since it is smaller than the sum of its proper divisors (71506584).

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

34787016 is an frugal number, since it uses more digits than its factorization.

34787016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 34787016 is about 5898.0518817657. The cubic root of 34787016 is about 326.4417712544.

Multiplying 34787016 by its sum of digits (36), we get a 5-th power (1252332576 = 66⁵).

The spelling of 34787016 in words is "thirty-four million, seven hundred eighty-seven thousand, sixteen".