34077456 has 160 divisors (see below), whose sum is σ = 114278400. Its totient is φ = 9521280.

The previous prime is 34077451. The next prime is 34077487. The reversal of 34077456 is 65477043.

It is a super-2 number, since 2×34077456² = 2322546014863872, 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 34077456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34077451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178321 + ... + 178511.

It is an arithmetic number, because the mean of its divisors is an integer number (714240).

Almost surely, 2^34077456 is an apocalyptic number.

34077456 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 34077456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57139200).

34077456 is an abundant number, since it is smaller than the sum of its proper divisors (80200944).

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

34077456 is a wasteful number, since it uses less digits than its factorization.

34077456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

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

The square root of 34077456 is about 5837.5899136544. The cubic root of 34077456 is about 324.2070007798.

The spelling of 34077456 in words is "thirty-four million, seventy-seven thousand, four hundred fifty-six".