34467936480 has 672 divisors, whose sum is σ = 130622768640. Its totient is φ = 8566041600.

The previous prime is 34467936409. The next prime is 34467936491. The reversal of 34467936480 is 8463976443.

34467936480 is a `hidden beast` number, since 34 + 46 + 7 + 93 + 6 + 480 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 228264405 + ... + 228264555.

It is an arithmetic number, because the mean of its divisors is an integer number (194379120).

Almost surely, 2^34467936480 is an apocalyptic number.

34467936480 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 34467936480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65311384320).

34467936480 is an abundant number, since it is smaller than the sum of its proper divisors (96154832160).

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

34467936480 is a wasteful number, since it uses less digits than its factorization.

34467936480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 34467936480 in words is "thirty-four billion, four hundred sixty-seven million, nine hundred thirty-six thousand, four hundred eighty".