34516140 has 48 divisors (see below), whose sum is σ = 96909792. Its totient is φ = 9179136.

The previous prime is 34516133. The next prime is 34516147. The reversal of 34516140 is 4161543.

34516140 = T₁₂₁₆ + T₁₂₁₇ + ... + T₁₂₆₀.

It is an interprime number because it is at equal distance from previous prime (34516133) and next prime (34516147).

It is a self number, because there is not a number n which added to its sum of digits gives 34516140.

It is not an unprimeable number, because it can be changed into a prime (34516147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34122 + ... + 35118.

It is an arithmetic number, because the mean of its divisors is an integer number (2018954).

Almost surely, 2^34516140 is an apocalyptic number.

34516140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34516140 is an abundant number, since it is smaller than the sum of its proper divisors (62393652).

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

34516140 is a wasteful number, since it uses less digits than its factorization.

34516140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 34516140 is about 5875.0438296237. The cubic root of 34516140 is about 325.5922612645.

Adding to 34516140 its reverse (4161543), we get a palindrome (38677683).

It can be divided in two parts, 3451 and 6140, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 34516140 in words is "thirty-four million, five hundred sixteen thousand, one hundred forty".