34997760 has 360 divisors, whose sum is σ = 145544256. Its totient is φ = 7741440.

The previous prime is 34997759. The next prime is 34997801. The reversal of 34997760 is 6779943.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1128945 + ... + 1128975.

Almost surely, 2^34997760 is an apocalyptic number.

34997760 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 34997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72772128).

34997760 is an abundant number, since it is smaller than the sum of its proper divisors (110546496).

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

34997760 is a wasteful number, since it uses less digits than its factorization.

34997760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 34997760 is about 5915.8904655174. The cubic root of 34997760 is about 327.0996525952.

The spelling of 34997760 in words is "thirty-four million, nine hundred ninety-seven thousand, seven hundred sixty".