34770474144 has 288 divisors, whose sum is σ = 114652661760. Its totient is φ = 9790695936.

The previous prime is 34770474139. The next prime is 34770474149. The reversal of 34770474144 is 44147407743.

34770474144 is a `hidden beast` number, since 34 + 7 + 7 + 0 + 474 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (34770474139) and next prime (34770474149).

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

It is a self number, because there is not a number n which added to its sum of digits gives 34770474144.

It is not an unprimeable number, because it can be changed into a prime (34770474149) 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, 46797037 + ... + 46797779.

It is an arithmetic number, because the mean of its divisors is an integer number (398099520).

Almost surely, 2^34770474144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34770474144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57326330880).

34770474144 is an abundant number, since it is smaller than the sum of its proper divisors (79882187616).

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

34770474144 is a wasteful number, since it uses less digits than its factorization.

34770474144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

The spelling of 34770474144 in words is "thirty-four billion, seven hundred seventy million, four hundred seventy-four thousand, one hundred forty-four".