34368516 has 144 divisors (see below), whose sum is σ = 110678400. Its totient is φ = 9030528.

The previous prime is 34368469. The next prime is 34368533. The reversal of 34368516 is 61586343.

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

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, 127630 + ... + 127898.

It is an arithmetic number, because the mean of its divisors is an integer number (768600).

Almost surely, 2^34368516 is an apocalyptic number.

34368516 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 34368516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55339200).

34368516 is an abundant number, since it is smaller than the sum of its proper divisors (76309884).

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

34368516 is a wasteful number, since it uses less digits than its factorization.

34368516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 294 counting only the distinct ones).

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

The square root of 34368516 is about 5862.4667163234. The cubic root of 34368516 is about 325.1274167062.

The spelling of 34368516 in words is "thirty-four million, three hundred sixty-eight thousand, five hundred sixteen".