34136520 has 96 divisors (see below), whose sum is σ = 112613760. Its totient is φ = 8272000.

The previous prime is 34136519. The next prime is 34136537. The reversal of 34136520 is 2563143.

34136520 = 470² + 471² + ... + 590².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13345 + ... + 15695.

It is an arithmetic number, because the mean of its divisors is an integer number (1173060).

Almost surely, 2^34136520 is an apocalyptic number.

34136520 is a gapful number since it is divisible by the number (30) 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 34136520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56306880).

34136520 is an abundant number, since it is smaller than the sum of its proper divisors (78477240).

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

34136520 is a wasteful number, since it uses less digits than its factorization.

34136520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 34136520 is about 5842.6466605469. The cubic root of 34136520 is about 324.3942008823.

Adding to 34136520 its reverse (2563143), we get a palindrome (36699663).

The spelling of 34136520 in words is "thirty-four million, one hundred thirty-six thousand, five hundred twenty".