34608400 has 60 divisors (see below), whose sum is σ = 85859584. Its totient is φ = 13392000.

The previous prime is 34608377. The next prime is 34608407. The reversal of 34608400 is 480643.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (34608407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11005 + ... + 13795.

Almost surely, 2^34608400 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 34608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42929792).

34608400 is an abundant number, since it is smaller than the sum of its proper divisors (51251184).

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

34608400 is a wasteful number, since it uses less digits than its factorization.

34608400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 34608400 is about 5882.8904460308. The cubic root of 34608400 is about 325.8821007164.

The spelling of 34608400 in words is "thirty-four million, six hundred eight thousand, four hundred".