34701480 has 256 divisors, whose sum is σ = 132710400. Its totient is φ = 7983360.

The previous prime is 34701439. The next prime is 34701481. The reversal of 34701480 is 8410743.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34701481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273177 + ... + 273303.

It is an arithmetic number, because the mean of its divisors is an integer number (518400).

Almost surely, 2^34701480 is an apocalyptic number.

34701480 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 34701480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66355200).

34701480 is an abundant number, since it is smaller than the sum of its proper divisors (98008920).

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

34701480 is a wasteful number, since it uses less digits than its factorization.

34701480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 34701480 is about 5890.7962110397. The cubic root of 34701480 is about 326.1739947138.

It can be divided in two parts, 3470 and 1480, that added together give a triangular number (4950 = T₉₉).

The spelling of 34701480 in words is "thirty-four million, seven hundred one thousand, four hundred eighty".