34788989376 has 140 divisors (see below), whose sum is σ = 105641363520. Its totient is φ = 11313423360.

The previous prime is 34788989371. The next prime is 34788989401. The reversal of 34788989376 is 67398988743.

34788989376 is a `hidden beast` number, since 3 + 478 + 8 + 9 + 89 + 3 + 76 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34788989371) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 130705 + ... + 294383.

It is an arithmetic number, because the mean of its divisors is an integer number (754581168).

Almost surely, 2^34788989376 is an apocalyptic number.

34788989376 is a gapful number since it is divisible by the number (36) 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 34788989376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52820681760).

34788989376 is an abundant number, since it is smaller than the sum of its proper divisors (70852374144).

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

34788989376 is a wasteful number, since it uses less digits than its factorization.

34788989376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163744 (or 163725 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 34788989376 in words is "thirty-four billion, seven hundred eighty-eight million, nine hundred eighty-nine thousand, three hundred seventy-six".