34502973120 has 672 divisors, whose sum is σ = 149052174336. Its totient is φ = 7116595200.

The previous prime is 34502973083. The next prime is 34502973137. The reversal of 34502973120 is 2137920543.

34502973120 is a `hidden beast` number, since 3 + 4 + 50 + 297 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 34815825 + ... + 34816815.

Almost surely, 2^34502973120 is an apocalyptic number.

34502973120 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 34502973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74526087168).

34502973120 is an abundant number, since it is smaller than the sum of its proper divisors (114549201216).

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

34502973120 is a wasteful number, since it uses less digits than its factorization.

34502973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 34502973120 in words is "thirty-four billion, five hundred two million, nine hundred seventy-three thousand, one hundred twenty".