34858212480 has 768 divisors, whose sum is σ = 150341667840. Its totient is φ = 7245987840.

The previous prime is 34858212463. The next prime is 34858212481. The reversal of 34858212480 is 8421285843.

34858212480 is a `hidden beast` number, since 3 + 4 + 85 + 82 + 12 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34858212481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38263225 + ... + 38264135.

It is an arithmetic number, because the mean of its divisors is an integer number (195757380).

Almost surely, 2^34858212480 is an apocalyptic number.

34858212480 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 34858212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75170833920).

34858212480 is an abundant number, since it is smaller than the sum of its proper divisors (115483455360).

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

34858212480 is a wasteful number, since it uses less digits than its factorization.

34858212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 34858212480 in words is "thirty-four billion, eight hundred fifty-eight million, two hundred twelve thousand, four hundred eighty".