34961172480 has 768 divisors, whose sum is σ = 136711411200. Its totient is φ = 8422686720.

The previous prime is 34961172479. The next prime is 34961172497. The reversal of 34961172480 is 8427116943.

34961172480 is a `hidden beast` number, since 3 + 4 + 9 + 611 + 7 + 24 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255190972 + ... + 255191108.

It is an arithmetic number, because the mean of its divisors is an integer number (178009650).

Almost surely, 2^34961172480 is an apocalyptic number.

34961172480 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 34961172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68355705600).

34961172480 is an abundant number, since it is smaller than the sum of its proper divisors (101750238720).

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

34961172480 is a wasteful number, since it uses less digits than its factorization.

34961172480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 34961172480 in words is "thirty-four billion, nine hundred sixty-one million, one hundred seventy-two thousand, four hundred eighty".