34542720 has 128 divisors (see below), whose sum is σ = 122400000. Its totient is φ = 9206784.

The previous prime is 34542713. The next prime is 34542733. The reversal of 34542720 is 2724543.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16281 + ... + 18279.

It is an arithmetic number, because the mean of its divisors is an integer number (956250).

Almost surely, 2^34542720 is an apocalyptic number.

34542720 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 34542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61200000).

34542720 is an abundant number, since it is smaller than the sum of its proper divisors (87857280).

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

34542720 is a wasteful number, since it uses less digits than its factorization.

34542720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 34542720 is about 5877.3055050763. The cubic root of 34542720 is about 325.6758165885.

The spelling of 34542720 in words is "thirty-four million, five hundred forty-two thousand, seven hundred twenty".