34285870563840 has 4800 divisors, whose sum is σ = 164837602575360. Its totient is φ = 6742112993280.

The previous prime is 34285870563817. The next prime is 34285870563899. The reversal of 34285870563840 is 4836507858243.

34285870563840 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 587 + 0 + 5 + 6 + 3 + 8 + 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 (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 101738488152 + ... + 101738488488.

Almost surely, 2^{34285870563840} is an apocalyptic number.

34285870563840 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 34285870563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82418801287680).

34285870563840 is an abundant number, since it is smaller than the sum of its proper divisors (130551732011520).

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

34285870563840 is a wasteful number, since it uses less digits than its factorization.

34285870563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 34285870563840 in words is "thirty-four trillion, two hundred eighty-five billion, eight hundred seventy million, five hundred sixty-three thousand, eight hundred forty".