34877480 has 64 divisors (see below), whose sum is σ = 88404480. Its totient is φ = 12268800.

The previous prime is 34877461. The next prime is 34877497. The reversal of 34877480 is 8477843.

It is a super-2 number, since 2×34877480² = 2432877222300800, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12362 + ... + 14918.

It is an arithmetic number, because the mean of its divisors is an integer number (1381320).

Almost surely, 2^34877480 is an apocalyptic number.

34877480 is the 3410-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34877480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44202240).

34877480 is an abundant number, since it is smaller than the sum of its proper divisors (53527000).

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

34877480 is a wasteful number, since it uses less digits than its factorization.

34877480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The square root of 34877480 is about 5905.7158753194. The cubic root of 34877480 is about 326.7244980679.

The spelling of 34877480 in words is "thirty-four million, eight hundred seventy-seven thousand, four hundred eighty".