34429861140480 has 2304 divisors, whose sum is σ = 142446454899840. Its totient is φ = 7900961439744.

The previous prime is 34429861140469. The next prime is 34429861140523. The reversal of 34429861140480 is 8404116892443.

34429861140480 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 98 + 61 + 14 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 75338864412 + ... + 75338864868.

Almost surely, 2^{34429861140480} is an apocalyptic number.

34429861140480 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 34429861140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71223227449920).

34429861140480 is an abundant number, since it is smaller than the sum of its proper divisors (108016593759360).

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

34429861140480 is a wasteful number, since it uses less digits than its factorization.

34429861140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 34429861140480 in words is "thirty-four trillion, four hundred twenty-nine billion, eight hundred sixty-one million, one hundred forty thousand, four hundred eighty".