34006188240 has 120 divisors (see below), whose sum is σ = 116634106368. Its totient is φ = 8875365120.

The previous prime is 34006188131. The next prime is 34006188269. The reversal of 34006188240 is 4288160043.

34006188240 is a `hidden beast` number, since 3 + 400 + 6 + 1 + 8 + 8 + 240 = 666.

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

It is a super-2 number, since 2×34006188240² (a number of 22 digits) contains 22 as substring.

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 = 34006188195 and 34006188204.

It is a congruent number.

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, 468616 + ... + 536295.

Almost surely, 2^34006188240 is an apocalyptic number.

34006188240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34006188240 is an abundant number, since it is smaller than the sum of its proper divisors (82627918128).

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

34006188240 is a wasteful number, since it uses less digits than its factorization.

34006188240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004977 (or 1004968 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 34006188240 in words is "thirty-four billion, six million, one hundred eighty-eight thousand, two hundred forty".