34836480 has 312 divisors, whose sum is σ = 143113152. Its totient is φ = 7962624.

The previous prime is 34836479. The next prime is 34836517. The reversal of 34836480 is 8463843.

It is a Jordan-Polya number, since it can be written as 9! ⋅ 4! ⋅ (2!)².

34836480 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 648 + 0 = 666.

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

It is a nialpdrome in base 12.

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, 4976637 + ... + 4976643.

It is an arithmetic number, because the mean of its divisors is an integer number (458696).

Almost surely, 2^34836480 is an apocalyptic number.

34836480 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 34836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71556576).

34836480 is an abundant number, since it is smaller than the sum of its proper divisors (108276672).

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

34836480 is an frugal number, since it uses more digits than its factorization.

34836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 34836480 is about 5902.2436411927. The cubic root of 34836480 is about 326.5964215658.

34836480 divided by its product of nonzero digits (55296) gives a triangular number (630 = T₃₅).

The spelling of 34836480 in words is "thirty-four million, eight hundred thirty-six thousand, four hundred eighty".