34778985984 has 160 divisors (see below), whose sum is σ = 103411059840. Its totient is φ = 11540883456.

The previous prime is 34778985953. The next prime is 34778986013. The reversal of 34778985984 is 48958987743.

34778985984 is a `hidden beast` number, since 347 + 78 + 98 + 59 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3132507 + ... + 3143589.

It is an arithmetic number, because the mean of its divisors is an integer number (646319124).

Almost surely, 2^34778985984 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 34778985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51705529920).

34778985984 is an abundant number, since it is smaller than the sum of its proper divisors (68632073856).

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

34778985984 is a wasteful number, since it uses less digits than its factorization.

34778985984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11337 (or 11315 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 34778985984 in words is "thirty-four billion, seven hundred seventy-eight million, nine hundred eighty-five thousand, nine hundred eighty-four".