35349480 has 128 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 9273600.

The previous prime is 35349473. The next prime is 35349493. The reversal of 35349480 is 8494353.

35349480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76450 + ... + 76910.

It is an arithmetic number, because the mean of its divisors is an integer number (935550).

Almost surely, 2^35349480 is an apocalyptic number.

35349480 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 35349480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875200).

35349480 is an abundant number, since it is smaller than the sum of its proper divisors (84400920).

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

35349480 is a wasteful number, since it uses less digits than its factorization.

35349480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 35349480 is about 5945.5428684015. The cubic root of 35349480 is about 328.1917627416.

The spelling of 35349480 in words is "thirty-five million, three hundred forty-nine thousand, four hundred eighty".