34854640 has 40 divisors (see below), whose sum is σ = 81298368. Its totient is φ = 13896960.

The previous prime is 34854623. The next prime is 34854643. The reversal of 34854640 is 4645843.

34854640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34854596 and 34854605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34854643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36570 + ... + 37510.

Almost surely, 2^34854640 is an apocalyptic number.

It is an amenable number.

34854640 is an abundant number, since it is smaller than the sum of its proper divisors (46443728).

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

34854640 is a wasteful number, since it uses less digits than its factorization.

34854640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 34854640 is about 5903.7818387877. The cubic root of 34854640 is about 326.6531624757.

It can be divided in two parts, 348546 and 40, that multiplied together give a triangular number (13941840 = T₅₂₈₀).

The spelling of 34854640 in words is "thirty-four million, eight hundred fifty-four thousand, six hundred forty".