34077744 has 60 divisors (see below), whose sum is σ = 96478200. Its totient is φ = 11227392.

The previous prime is 34077739. The next prime is 34077761. The reversal of 34077744 is 44777043.

It is a super-2 number, since 2×34077744² = 2322585272259072, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34077699 and 34077708.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11487 + ... + 14145.

It is an arithmetic number, because the mean of its divisors is an integer number (1607970).

Almost surely, 2^34077744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34077744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48239100).

34077744 is an abundant number, since it is smaller than the sum of its proper divisors (62400456).

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

34077744 is a wasteful number, since it uses less digits than its factorization.

34077744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 34077744 is about 5837.6145813166. The cubic root of 34077744 is about 324.2079141046.

The spelling of 34077744 in words is "thirty-four million, seventy-seven thousand, seven hundred forty-four".