34873560 has 96 divisors (see below), whose sum is σ = 114978240. Its totient is φ = 9165312.

The previous prime is 34873549. The next prime is 34873561. The reversal of 34873560 is 6537843.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34873561) 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, 25617 + ... + 26943.

It is an arithmetic number, because the mean of its divisors is an integer number (1197690).

Almost surely, 2^34873560 is an apocalyptic number.

34873560 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 34873560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57489120).

34873560 is an abundant number, since it is smaller than the sum of its proper divisors (80104680).

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

34873560 is a wasteful number, since it uses less digits than its factorization.

34873560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 34873560 is about 5905.3839841284. The cubic root of 34873560 is about 326.7122570458.

The spelling of 34873560 in words is "thirty-four million, eight hundred seventy-three thousand, five hundred sixty".