34749120 has 112 divisors (see below), whose sum is σ = 126114048. Its totient is φ = 7941120.

The previous prime is 34749103. The next prime is 34749133. The reversal of 34749120 is 2194743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4135 + ... + 9305.

Almost surely, 2^34749120 is an apocalyptic number.

34749120 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 34749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63057024).

34749120 is an abundant number, since it is smaller than the sum of its proper divisors (91364928).

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

34749120 is a wasteful number, since it uses less digits than its factorization.

34749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 34749120 is about 5894.8384201774. The cubic root of 34749120 is about 326.3231893460.

The spelling of 34749120 in words is "thirty-four million, seven hundred forty-nine thousand, one hundred twenty".