34078171392 has 288 divisors, whose sum is σ = 108683568000. Its totient is φ = 10497392640.

The previous prime is 34078171363. The next prime is 34078171397. The reversal of 34078171392 is 29317187043.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×34078171392² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34078171397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5381284 + ... + 5387612.

It is an arithmetic number, because the mean of its divisors is an integer number (377373500).

Almost surely, 2^34078171392 is an apocalyptic number.

34078171392 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 34078171392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54341784000).

34078171392 is an abundant number, since it is smaller than the sum of its proper divisors (74605396608).

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

34078171392 is a wasteful number, since it uses less digits than its factorization.

34078171392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6414 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 34078171392 in words is "thirty-four billion, seventy-eight million, one hundred seventy-one thousand, three hundred ninety-two".