34661228160 has 512 divisors, whose sum is σ = 125229888000. Its totient is φ = 8090615808.

The previous prime is 34661228143. The next prime is 34661228167. The reversal of 34661228160 is 6182216643.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (34661228167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99315666 + ... + 99316014.

It is an arithmetic number, because the mean of its divisors is an integer number (244589625).

Almost surely, 2^34661228160 is an apocalyptic number.

34661228160 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 34661228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62614944000).

34661228160 is an abundant number, since it is smaller than the sum of its proper divisors (90568659840).

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

34661228160 is a wasteful number, since it uses less digits than its factorization.

34661228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 34661228160 in words is "thirty-four billion, six hundred sixty-one million, two hundred twenty-eight thousand, one hundred sixty".