34955640 has 96 divisors (see below), whose sum is σ = 114987600. Its totient is φ = 9208320.

The previous prime is 34955629. The next prime is 34955651. The reversal of 34955640 is 4655943.

It is a happy number.

34955640 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 5 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (34955629) and next prime (34955651).

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 = 34955595 and 34955604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31495 + ... + 32585.

Almost surely, 2^34955640 is an apocalyptic number.

34955640 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 34955640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57493800).

34955640 is an abundant number, since it is smaller than the sum of its proper divisors (80031960).

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

34955640 is a wasteful number, since it uses less digits than its factorization.

34955640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 34955640 is about 5912.3294901418. The cubic root of 34955640 is about 326.9683778304.

The spelling of 34955640 in words is "thirty-four million, nine hundred fifty-five thousand, six hundred forty".