34716900 has 72 divisors (see below), whose sum is σ = 103715584. Its totient is φ = 8956800.

The previous prime is 34716893. The next prime is 34716917. The reversal of 34716900 is 961743.

It is a happy number.

It is a super-2 number, since 2×34716900² = 2410526291220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

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, 7434 + ... + 11166.

Almost surely, 2^34716900 is an apocalyptic number.

34716900 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 34716900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51857792).

34716900 is an abundant number, since it is smaller than the sum of its proper divisors (68998684).

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

34716900 is a wasteful number, since it uses less digits than its factorization.

34716900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3781 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 34716900 is about 5892.1048870501. The cubic root of 34716900 is about 326.2223006092. Note that the first 3 decimals are identical.

The spelling of 34716900 in words is "thirty-four million, seven hundred sixteen thousand, nine hundred".