34377264 has 160 divisors (see below), whose sum is σ = 108564480. Its totient is φ = 10368000.

The previous prime is 34377263. The next prime is 34377293. The reversal of 34377264 is 46277343.

It is a happy number.

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).

Its product of digits (84672) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (34377263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227589 + ... + 227739.

It is an arithmetic number, because the mean of its divisors is an integer number (678528).

Almost surely, 2^34377264 is an apocalyptic number.

34377264 is a gapful number since it is divisible by the number (34) 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 34377264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54282240).

34377264 is an abundant number, since it is smaller than the sum of its proper divisors (74187216).

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

34377264 is a wasteful number, since it uses less digits than its factorization.

34377264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 34377264 is about 5863.2127711691. The cubic root of 34377264 is about 325.1549998326.

It can be divided in two parts, 3437 and 7264, that added together give a palindrome (10701).

The spelling of 34377264 in words is "thirty-four million, three hundred seventy-seven thousand, two hundred sixty-four".