34756020 has 96 divisors (see below), whose sum is σ = 116471040. Its totient is φ = 8553600.

The previous prime is 34755979. The next prime is 34756037. The reversal of 34756020 is 2065743.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4545 + ... + 9495.

It is an arithmetic number, because the mean of its divisors is an integer number (1213240).

Almost surely, 2^34756020 is an apocalyptic number.

34756020 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 34756020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58235520).

34756020 is an abundant number, since it is smaller than the sum of its proper divisors (81715020).

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

34756020 is a wasteful number, since it uses less digits than its factorization.

34756020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4982 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 34756020 is about 5895.4236488992. The cubic root of 34756020 is about 326.3447868329.

The spelling of 34756020 in words is "thirty-four million, seven hundred fifty-six thousand, twenty".