34689174287040 has 2688 divisors, whose sum is σ = 152989975756800. Its totient is φ = 7021773619200.

The previous prime is 34689174286999. The next prime is 34689174287113. The reversal of 34689174287040 is 4078247198643.

34689174287040 is a `hidden beast` number, since 3 + 468 + 9 + 17 + 42 + 87 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 193794269671 + ... + 193794269849.

It is an arithmetic number, because the mean of its divisors is an integer number (56915913600).

Almost surely, 2^{34689174287040} is an apocalyptic number.

34689174287040 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 34689174287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76494987878400).

34689174287040 is an abundant number, since it is smaller than the sum of its proper divisors (118300801469760).

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

34689174287040 is a wasteful number, since it uses less digits than its factorization.

34689174287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 34689174287040 in words is "thirty-four trillion, six hundred eighty-nine billion, one hundred seventy-four million, two hundred eighty-seven thousand, forty".