34728540 has 96 divisors (see below), whose sum is σ = 121250304. Its totient is φ = 7215360.

The previous prime is 34728527. The next prime is 34728553. The reversal of 34728540 is 4582743.

It is an interprime number because it is at equal distance from previous prime (34728527) and next prime (34728553).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862 + ... + 8378.

It is an arithmetic number, because the mean of its divisors is an integer number (1263024).

Almost surely, 2^34728540 is an apocalyptic number.

34728540 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 34728540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60625152).

34728540 is an abundant number, since it is smaller than the sum of its proper divisors (86521764).

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

34728540 is a wasteful number, since it uses less digits than its factorization.

34728540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7547 (or 7545 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 34728540 is about 5893.0925667259. The cubic root of 34728540 is about 326.2587555085.

The spelling of 34728540 in words is "thirty-four million, seven hundred twenty-eight thousand, five hundred forty".