34649316 has 192 divisors, whose sum is σ = 107251200. Its totient is φ = 9580032.

The previous prime is 34649311. The next prime is 34649347. The reversal of 34649316 is 61394643.

34649316 is a `hidden beast` number, since 3 + 4 + 649 + 3 + 1 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34649311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 936450 + ... + 936486.

It is an arithmetic number, because the mean of its divisors is an integer number (558600).

Almost surely, 2^34649316 is an apocalyptic number.

34649316 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 34649316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53625600).

34649316 is an abundant number, since it is smaller than the sum of its proper divisors (72601884).

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

34649316 is a wasteful number, since it uses less digits than its factorization.

34649316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 34649316 is about 5886.3669610380. The cubic root of 34649316 is about 326.0104755312.

The spelling of 34649316 in words is "thirty-four million, six hundred forty-nine thousand, three hundred sixteen".