34680048 has 80 divisors (see below), whose sum is σ = 97389600. Its totient is φ = 10570752.

The previous prime is 34680029. The next prime is 34680049. The reversal of 34680048 is 84008643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34680049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92790 + ... + 93162.

It is an arithmetic number, because the mean of its divisors is an integer number (1217370).

Almost surely, 2^34680048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34680048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48694800).

34680048 is an abundant number, since it is smaller than the sum of its proper divisors (62709552).

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

34680048 is a wasteful number, since it uses less digits than its factorization.

34680048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 34680048 is about 5888.9768211464. The cubic root of 34680048 is about 326.1068313853.

It can be divided in two parts, 346800 and 48, that multiplied together give a square (16646400 = 4080²).

The spelling of 34680048 in words is "thirty-four million, six hundred eighty thousand, forty-eight".