34907040 has 144 divisors (see below), whose sum is σ = 136176768. Its totient is φ = 7976448.

The previous prime is 34907029. The next prime is 34907051. The reversal of 34907040 is 4070943.

It is an interprime number because it is at equal distance from previous prime (34907029) and next prime (34907051).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 34906995 and 34907013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8349 + ... + 11811.

It is an arithmetic number, because the mean of its divisors is an integer number (945672).

Almost surely, 2^34907040 is an apocalyptic number.

34907040 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 34907040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68088384).

34907040 is an abundant number, since it is smaller than the sum of its proper divisors (101269728).

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

34907040 is a wasteful number, since it uses less digits than its factorization.

34907040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 34907040 is about 5908.2180054565. The cubic root of 34907040 is about 326.8167758448.

Adding to 34907040 its reverse (4070943), we get a palindrome (38977983).

The spelling of 34907040 in words is "thirty-four million, nine hundred seven thousand, forty".