34635480 has 128 divisors (see below), whose sum is σ = 119404800. Its totient is φ = 7948800.

The previous prime is 34635479. The next prime is 34635481. The reversal of 34635480 is 8453643.

It is an interprime number because it is at equal distance from previous prime (34635479) and next prime (34635481).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34635481) 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, 24390 + ... + 25770.

It is an arithmetic number, because the mean of its divisors is an integer number (932850).

Almost surely, 2^34635480 is an apocalyptic number.

34635480 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 34635480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59702400).

34635480 is an abundant number, since it is smaller than the sum of its proper divisors (84769320).

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

34635480 is a wasteful number, since it uses less digits than its factorization.

34635480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 34635480 is about 5885.1915856665. The cubic root of 34635480 is about 325.9670761034.

The spelling of 34635480 in words is "thirty-four million, six hundred thirty-five thousand, four hundred eighty".