34077940 has 48 divisors (see below), whose sum is σ = 78554448. Its totient is φ = 12340224.

The previous prime is 34077919. The next prime is 34077971. The reversal of 34077940 is 4977043.

It can be written as a sum of positive squares in 8 ways, for example, as 19044 + 34058896 = 138^2 + 5836^2 .

It is a super-4 number, since 4×34077940⁴ (a number of 31 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 34077896 and 34077905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12544 + ... + 15016.

It is an arithmetic number, because the mean of its divisors is an integer number (1636551).

Almost surely, 2^34077940 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 34077940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39277224).

34077940 is an abundant number, since it is smaller than the sum of its proper divisors (44476508).

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

34077940 is a wasteful number, since it uses less digits than its factorization.

34077940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 34077940 is about 5837.6313689715. The cubic root of 34077940 is about 324.2085356699.

The spelling of 34077940 in words is "thirty-four million, seventy-seven thousand, nine hundred forty".