34003045956096 has 1440 divisors, whose sum is σ = 125932933526400. Its totient is φ = 8967634550784.

The previous prime is 34003045956041. The next prime is 34003045956157. The reversal of 34003045956096 is 69065954030043.

34003045956096 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 30 + 45 + 9 + 560 + 9 + 6 = 666.

It is a super-2 number, since 2×34003045956096² (a number of 28 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 13339757830 + ... + 13339760378.

It is an arithmetic number, because the mean of its divisors is an integer number (87453426060).

Almost surely, 2^{34003045956096} is an apocalyptic number.

34003045956096 is a gapful number since it is divisible by the number (36) 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 34003045956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62966466763200).

34003045956096 is an abundant number, since it is smaller than the sum of its proper divisors (91929887570304).

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

34003045956096 is an equidigital number, since it uses as much as digits as its factorization.

34003045956096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 34003045956096 in words is "thirty-four trillion, three billion, forty-five million, nine hundred fifty-six thousand, ninety-six".