34801200 has 180 divisors, whose sum is σ = 138122608. Its totient is φ = 7948800.

The previous prime is 34801187. The next prime is 34801219. The reversal of 34801200 is 210843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×34801200² = 2422247042880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24510 + ... + 25890.

Almost surely, 2^34801200 is an apocalyptic number.

34801200 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 34801200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69061304).

34801200 is an abundant number, since it is smaller than the sum of its proper divisors (103321408).

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

34801200 is a wasteful number, since it uses less digits than its factorization.

34801200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 34801200 is about 5899.2541901498. The cubic root of 34801200 is about 326.4861328338.

The spelling of 34801200 in words is "thirty-four million, eight hundred one thousand, two hundred".