34691400 has 72 divisors (see below), whose sum is σ = 116511330. Its totient is φ = 9250560.

The previous prime is 34691369. The next prime is 34691401. The reversal of 34691400 is 419643.

It can be written as a sum of positive squares in 3 ways, for example, as 27941796 + 6749604 = 5286^2 + 2598^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (34691401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7837 + ... + 11436.

Almost surely, 2^34691400 is an apocalyptic number.

34691400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34691400 is an abundant number, since it is smaller than the sum of its proper divisors (81819930).

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

34691400 is a wasteful number, since it uses less digits than its factorization.

34691400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19295 (or 19283 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34691400 is about 5889.9405769498. The cubic root of 34691400 is about 326.1424095838.

The spelling of 34691400 in words is "thirty-four million, six hundred ninety-one thousand, four hundred".