34368958857480 has 256 divisors, whose sum is σ = 112462801920000. Its totient is φ = 8351544794112.

The previous prime is 34368958857479. The next prime is 34368958857517. The reversal of 34368958857480 is 8475885986343.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 34368958857396 and 34368958857405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 850212549 + ... + 850252971.

It is an arithmetic number, because the mean of its divisors is an integer number (439307820000).

Almost surely, 2^{34368958857480} is an apocalyptic number.

34368958857480 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 34368958857480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56231400960000).

34368958857480 is an abundant number, since it is smaller than the sum of its proper divisors (78093843062520).

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

34368958857480 is a wasteful number, since it uses less digits than its factorization.

34368958857480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47428 (or 47424 counting only the distinct ones).

The product of its (nonzero) digits is 5573836800, while the sum is 78.

The spelling of 34368958857480 in words is "thirty-four trillion, three hundred sixty-eight billion, nine hundred fifty-eight million, eight hundred fifty-seven thousand, four hundred eighty".