34298640 has 200 divisors, whose sum is σ = 122432640. Its totient is φ = 8895744.

The previous prime is 34298603. The next prime is 34298659. The reversal of 34298640 is 4689243.

It is a happy number.

34298640 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 8 + 640 = 666.

It is a super-3 number, since 3×34298640³ (a number of 24 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34298595 and 34298604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 434121 + ... + 434199.

Almost surely, 2^34298640 is an apocalyptic number.

34298640 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 34298640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61216320).

34298640 is an abundant number, since it is smaller than the sum of its proper divisors (88134000).

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

34298640 is a wasteful number, since it uses less digits than its factorization.

34298640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34298640 is about 5856.5040766655. The cubic root of 34298640 is about 324.9069240371.

The spelling of 34298640 in words is "thirty-four million, two hundred ninety-eight thousand, six hundred forty".