34856640 has 504 divisors, whose sum is σ = 158099760. Its totient is φ = 6967296.

The previous prime is 34856639. The next prime is 34856651. The reversal of 34856640 is 4665843.

34856640 is a `hidden beast` number, since 3 + 4 + 8 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 = 34856595 and 34856604.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1834551 + ... + 1834569.

It is an arithmetic number, because the mean of its divisors is an integer number (313690).

It is a vampire number, since it can be written as 5460 ⋅ 6384 (with its own digits).

Almost surely, 2^34856640 is an apocalyptic number.

34856640 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 34856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79049880).

34856640 is an abundant number, since it is smaller than the sum of its proper divisors (123243120).

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

34856640 is a wasteful number, since it uses less digits than its factorization.

34856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 34856640 is about 5903.9512193107. The cubic root of 34856640 is about 326.6594102697.

The spelling of 34856640 in words is "thirty-four million, eight hundred fifty-six thousand, six hundred forty".