34366464 has 176 divisors, whose sum is σ = 112011840. Its totient is φ = 10321920.

The previous prime is 34366463. The next prime is 34366471. The reversal of 34366464 is 46466343.

34366464 is a `hidden beast` number, since 3 + 4 + 3 + 6 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (34366463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304072 + ... + 304184.

Almost surely, 2^34366464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34366464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56005920).

34366464 is an abundant number, since it is smaller than the sum of its proper divisors (77645376).

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

34366464 is a wasteful number, since it uses less digits than its factorization.

34366464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 34366464 is about 5862.2917020565. The cubic root of 34366464 is about 325.1209459125.

The spelling of 34366464 in words is "thirty-four million, three hundred sixty-six thousand, four hundred sixty-four".