34900224 has 72 divisors (see below), whose sum is σ = 96149760. Its totient is φ = 11225088.

The previous prime is 34900189. The next prime is 34900249. The reversal of 34900224 is 42200943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 34900194 and 34900203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21489 + ... + 23055.

Almost surely, 2^34900224 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 34900224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48074880).

34900224 is an abundant number, since it is smaller than the sum of its proper divisors (61249536).

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

34900224 is a wasteful number, since it uses less digits than its factorization.

34900224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34900224 is about 5907.6411536247. The cubic root of 34900224 is about 326.7955028852.

The spelling of 34900224 in words is "thirty-four million, nine hundred thousand, two hundred twenty-four".