34719400 has 48 divisors (see below), whose sum is σ = 81959040. Its totient is φ = 13675200.

The previous prime is 34719379. The next prime is 34719413. The reversal of 34719400 is 491743.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12105 + ... + 14695.

It is an arithmetic number, because the mean of its divisors is an integer number (1707480).

Almost surely, 2^34719400 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 34719400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40979520).

34719400 is an abundant number, since it is smaller than the sum of its proper divisors (47239640).

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

34719400 is a wasteful number, since it uses less digits than its factorization.

34719400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 34719400 is about 5892.3170315250. The cubic root of 34719400 is about 326.2301309568.

The spelling of 34719400 in words is "thirty-four million, seven hundred nineteen thousand, four hundred".