34478400 has 168 divisors, whose sum is σ = 123590304. Its totient is φ = 8345600.

The previous prime is 34478387. The next prime is 34478429. The reversal of 34478400 is 487443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52474 + ... + 53126.

Almost surely, 2^34478400 is an apocalyptic number.

34478400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61795152).

34478400 is an abundant number, since it is smaller than the sum of its proper divisors (89111904).

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

34478400 is a wasteful number, since it uses less digits than its factorization.

34478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 34478400 is about 5871.8310602401. The cubic root of 34478400 is about 325.4735502964.

The spelling of 34478400 in words is "thirty-four million, four hundred seventy-eight thousand, four hundred".