34770456 has 96 divisors (see below), whose sum is σ = 113318400. Its totient is φ = 9408960.

The previous prime is 34770409. The next prime is 34770467. The reversal of 34770456 is 65407743.

It is a super-2 number, since 2×34770456² = 2417969220895872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34770456.

It is a congruent number.

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, 7761 + ... + 11391.

It is an arithmetic number, because the mean of its divisors is an integer number (1180400).

Almost surely, 2^34770456 is an apocalyptic number.

34770456 is a gapful number since it is divisible by the number (36) 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 34770456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56659200).

34770456 is an abundant number, since it is smaller than the sum of its proper divisors (78547944).

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

34770456 is a wasteful number, since it uses less digits than its factorization.

34770456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 34770456 is about 5896.6478612853. The cubic root of 34770456 is about 326.3899632871.

The spelling of 34770456 in words is "thirty-four million, seven hundred seventy thousand, four hundred fifty-six".