34077728160 has 1152 divisors, whose sum is σ = 150649632000. Its totient is φ = 7148445696.

The previous prime is 34077728129. The next prime is 34077728161. The reversal of 34077728160 is 6182777043.

It is a super-2 number, since 2×34077728160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34077728161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 148810926 + ... + 148811154.

It is an arithmetic number, because the mean of its divisors is an integer number (130772250).

Almost surely, 2^34077728160 is an apocalyptic number.

34077728160 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 34077728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75324816000).

34077728160 is an abundant number, since it is smaller than the sum of its proper divisors (116571903840).

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

34077728160 is a wasteful number, since it uses less digits than its factorization.

34077728160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 34077728160 in words is "thirty-four billion, seventy-seven million, seven hundred twenty-eight thousand, one hundred sixty".