34802924011240 has 128 divisors (see below), whose sum is σ = 99706194432000. Its totient is φ = 10616863207680.

The previous prime is 34802924011201. The next prime is 34802924011307. The reversal of 34802924011240 is 4211042920843.

It is a super-2 number, since 2×34802924011240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 34802924011193 and 34802924011202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120064290 + ... + 120353809.

It is an arithmetic number, because the mean of its divisors is an integer number (778954644000).

Almost surely, 2^{34802924011240} is an apocalyptic number.

It is an amenable number.

34802924011240 is an abundant number, since it is smaller than the sum of its proper divisors (64903270420760).

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

34802924011240 is a wasteful number, since it uses less digits than its factorization.

34802924011240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240418175 (or 240418171 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 34802924011240 in words is "thirty-four trillion, eight hundred two billion, nine hundred twenty-four million, eleven thousand, two hundred forty".