34914000 has 240 divisors, whose sum is σ = 128366784. Its totient is φ = 8096000.

The previous prime is 34913981. The next prime is 34914007. The reversal of 34914000 is 41943.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34914007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1517989 + ... + 1518011.

Almost surely, 2^34914000 is an apocalyptic number.

34914000 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 34914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64183392).

34914000 is an abundant number, since it is smaller than the sum of its proper divisors (93452784).

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

34914000 is a wasteful number, since it uses less digits than its factorization.

34914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 34914000 is about 5908.8069861860. The cubic root of 34914000 is about 326.8384953756.

Adding to 34914000 its reverse (41943), we get a palindrome (34955943).

The spelling of 34914000 in words is "thirty-four million, nine hundred fourteen thousand".