34478773230000 has 400 divisors, whose sum is σ = 121447098888192. Its totient is φ = 8356656000000.

The previous prime is 34478773229993. The next prime is 34478773230007. The reversal of 34478773230000 is 3237787443.

It is an interprime number because it is at equal distance from previous prime (34478773229993) and next prime (34478773230007).

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (34478773230007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2069421670 + ... + 2069438330.

Almost surely, 2^{34478773230000} is an apocalyptic number.

34478773230000 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 34478773230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60723549444096).

34478773230000 is an abundant number, since it is smaller than the sum of its proper divisors (86968325658192).

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

34478773230000 is a wasteful number, since it uses less digits than its factorization.

34478773230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22974 (or 22953 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 48.

The spelling of 34478773230000 in words is "thirty-four trillion, four hundred seventy-eight billion, seven hundred seventy-three million, two hundred thirty thousand".