34390052160 has 336 divisors, whose sum is σ = 114232773312. Its totient is φ = 8760320000.

The previous prime is 34390052149. The next prime is 34390052161. The reversal of 34390052160 is 6125009343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34390052161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137012035 + ... + 137012285.

It is an arithmetic number, because the mean of its divisors is an integer number (339978492).

Almost surely, 2^34390052160 is an apocalyptic number.

34390052160 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 34390052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57116386656).

34390052160 is an abundant number, since it is smaller than the sum of its proper divisors (79842721152).

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

34390052160 is a wasteful number, since it uses less digits than its factorization.

34390052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 34390052160 in words is "thirty-four billion, three hundred ninety million, fifty-two thousand, one hundred sixty".