34049062387872 has 960 divisors, whose sum is σ = 126969835474944. Its totient is φ = 8757517824000.

The previous prime is 34049062387859. The next prime is 34049062387891. The reversal of 34049062387872 is 27878326094043.

34049062387872 is a `hidden beast` number, since 3 + 4 + 0 + 490 + 6 + 2 + 3 + 8 + 78 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1723905997 + ... + 1723925747.

Almost surely, 2^{34049062387872} is an apocalyptic number.

34049062387872 is a gapful number since it is divisible by the number (32) 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 34049062387872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63484917737472).

34049062387872 is an abundant number, since it is smaller than the sum of its proper divisors (92920773087072).

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

34049062387872 is an equidigital number, since it uses as much as digits as its factorization.

34049062387872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19835 (or 19803 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 34049062387872 in words is "thirty-four trillion, forty-nine billion, sixty-two million, three hundred eighty-seven thousand, eight hundred seventy-two".