34683264 has 384 divisors, whose sum is σ = 137479680. Its totient is φ = 8110080.

The previous prime is 34683263. The next prime is 34683269. The reversal of 34683264 is 46238643.

34683264 = T₃₉₂ + T₃₉₃ + ... + T₆₄₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34683263) 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, 1507957 + ... + 1507979.

It is an arithmetic number, because the mean of its divisors is an integer number (358020).

Almost surely, 2^34683264 is an apocalyptic number.

34683264 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 34683264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68739840).

34683264 is an abundant number, since it is smaller than the sum of its proper divisors (102796416).

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

34683264 is a wasteful number, since it uses less digits than its factorization.

34683264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 63 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 34683264 is about 5889.2498673430. The cubic root of 34683264 is about 326.1169114094.

The spelling of 34683264 in words is "thirty-four million, six hundred eighty-three thousand, two hundred sixty-four".