34980400 has 180 divisors, whose sum is σ = 106878576. Its totient is φ = 10713600.

The previous prime is 34980397. The next prime is 34980403. The reversal of 34980400 is 408943.

It is an interprime number because it is at equal distance from previous prime (34980397) and next prime (34980403).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (34980403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1128385 + ... + 1128415.

Almost surely, 2^34980400 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 34980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53439288).

34980400 is an abundant number, since it is smaller than the sum of its proper divisors (71898176).

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

34980400 is a wasteful number, since it uses less digits than its factorization.

34980400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 34980400 is about 5914.4230487851. The cubic root of 34980400 is about 327.0455597130.

The spelling of 34980400 in words is "thirty-four million, nine hundred eighty thousand, four hundred".