34625760 has 192 divisors, whose sum is σ = 121927680. Its totient is φ = 8202240.

The previous prime is 34625749. The next prime is 34625761. The reversal of 34625760 is 6752643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34625761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193351 + ... + 193529.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 2^34625760 is an apocalyptic number.

34625760 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 34625760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

34625760 is an abundant number, since it is smaller than the sum of its proper divisors (87301920).

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

34625760 is a wasteful number, since it uses less digits than its factorization.

34625760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 34625760 is about 5884.3657262274. The cubic root of 34625760 is about 325.9365804343.

It can be divided in two parts, 346 and 25760, that added together give a triangular number (26106 = T₂₂₈).

The spelling of 34625760 in words is "thirty-four million, six hundred twenty-five thousand, seven hundred sixty".