34898400 has 216 divisors, whose sum is σ = 127351224. Its totient is φ = 8985600.

The previous prime is 34898389. The next prime is 34898401. The reversal of 34898400 is 489843.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34898401) 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, 266335 + ... + 266465.

It is an arithmetic number, because the mean of its divisors is an integer number (589589).

Almost surely, 2^34898400 is an apocalyptic number.

34898400 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 34898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63675612).

34898400 is an abundant number, since it is smaller than the sum of its proper divisors (92452824).

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

34898400 is a wasteful number, since it uses less digits than its factorization.

34898400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34898400 is about 5907.4867752709. The cubic root of 34898400 is about 326.7898096516.

The spelling of 34898400 in words is "thirty-four million, eight hundred ninety-eight thousand, four hundred".