34490271810240 has 336 divisors, whose sum is σ = 119255251411296. Its totient is φ = 9149143449600.

The previous prime is 34490271810191. The next prime is 34490271810277. The reversal of 34490271810240 is 4201817209443.

34490271810240 is a `hidden beast` number, since 3 + 4 + 490 + 2 + 7 + 18 + 102 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1284014410 + ... + 1284041270.

It is an arithmetic number, because the mean of its divisors is an integer number (354926343486).

Almost surely, 2^{34490271810240} is an apocalyptic number.

34490271810240 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 34490271810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59627625705648).

34490271810240 is an abundant number, since it is smaller than the sum of its proper divisors (84764979601056).

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

34490271810240 is a wasteful number, since it uses less digits than its factorization.

34490271810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29208 (or 29195 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 34490271810240 in words is "thirty-four trillion, four hundred ninety billion, two hundred seventy-one million, eight hundred ten thousand, two hundred forty".