34478640 has 120 divisors (see below), whose sum is σ = 132351648. Its totient is φ = 7879680.

The previous prime is 34478629. The next prime is 34478657. The reversal of 34478640 is 4687443.

34478640 is a `hidden beast` number, since 3 + 4 + 4 + 7 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34478595 and 34478604.

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, 1620 + ... + 8460.

Almost surely, 2^34478640 is an apocalyptic number.

34478640 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 34478640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66175824).

34478640 is an abundant number, since it is smaller than the sum of its proper divisors (97873008).

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

34478640 is a wasteful number, since it uses less digits than its factorization.

34478640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6867 (or 6858 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 34478640 is about 5871.8514967598. The cubic root of 34478640 is about 325.4743054887.

The spelling of 34478640 in words is "thirty-four million, four hundred seventy-eight thousand, six hundred forty".