34039779384 has 256 divisors, whose sum is σ = 104146560000. Its totient is φ = 9162768384.

The previous prime is 34039779383. The next prime is 34039779421. The reversal of 34039779384 is 48397793043.

It is a happy number.

It is a super-2 number, since 2×34039779384² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34039779383) 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, 3949672 + ... + 3958280.

It is an arithmetic number, because the mean of its divisors is an integer number (406822500).

Almost surely, 2^34039779384 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 34039779384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52073280000).

34039779384 is an abundant number, since it is smaller than the sum of its proper divisors (70106780616).

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

34039779384 is a wasteful number, since it uses less digits than its factorization.

34039779384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8702 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 57.

The spelling of 34039779384 in words is "thirty-four billion, thirty-nine million, seven hundred seventy-nine thousand, three hundred eighty-four".