34713864 has 96 divisors (see below), whose sum is σ = 101088000. Its totient is φ = 10722816.

The previous prime is 34713863. The next prime is 34713869. The reversal of 34713864 is 46831743.

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

It is not an unprimeable number, because it can be changed into a prime (34713863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96517 + ... + 96875.

It is an arithmetic number, because the mean of its divisors is an integer number (1053000).

Almost surely, 2^34713864 is an apocalyptic number.

34713864 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 34713864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50544000).

34713864 is an abundant number, since it is smaller than the sum of its proper divisors (66374136).

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

34713864 is a wasteful number, since it uses less digits than its factorization.

34713864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 460 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 34713864 is about 5891.8472485291. The cubic root of 34713864 is about 326.2127909297.

The spelling of 34713864 in words is "thirty-four million, seven hundred thirteen thousand, eight hundred sixty-four".