34913974878720 has 960 divisors, whose sum is σ = 148800310813440. Its totient is φ = 7383567826944.

The previous prime is 34913974878649. The next prime is 34913974878721. The reversal of 34913974878720 is 2787847931943.

34913974878720 is a `hidden beast` number, since 3 + 4 + 9 + 139 + 7 + 487 + 8 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (34913974878721) 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, 161655924 + ... + 161871756.

It is an arithmetic number, because the mean of its divisors is an integer number (155000323764).

Almost surely, 2^{34913974878720} is an apocalyptic number.

34913974878720 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 34913974878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400155406720).

34913974878720 is an abundant number, since it is smaller than the sum of its proper divisors (113886335934720).

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

34913974878720 is a wasteful number, since it uses less digits than its factorization.

34913974878720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215945 (or 215926 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 34913974878720 in words is "thirty-four trillion, nine hundred thirteen billion, nine hundred seventy-four million, eight hundred seventy-eight thousand, seven hundred twenty".