34836516 has 144 divisors (see below), whose sum is σ = 106037568. Its totient is φ = 9504000.

The previous prime is 34836479. The next prime is 34836517. The reversal of 34836516 is 61563843.

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

It is not an unprimeable number, because it can be changed into a prime (34836517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344866 + ... + 344966.

It is an arithmetic number, because the mean of its divisors is an integer number (736372).

Almost surely, 2^34836516 is an apocalyptic number.

34836516 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 34836516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53018784).

34836516 is an abundant number, since it is smaller than the sum of its proper divisors (71201052).

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

34836516 is a wasteful number, since it uses less digits than its factorization.

34836516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 197 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 34836516 is about 5902.2466908797. The cubic root of 34836516 is about 326.5965340672.

It can be divided in two parts, 3483 and 6516, that added together give a palindrome (9999).

The spelling of 34836516 in words is "thirty-four million, eight hundred thirty-six thousand, five hundred sixteen".