34379384040 has 160 divisors (see below), whose sum is σ = 116319836160. Its totient is φ = 9106992000.

The previous prime is 34379384027. The next prime is 34379384047. The reversal of 34379384040 is 4048397343.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34379384047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 454105 + ... + 524375.

It is an arithmetic number, because the mean of its divisors is an integer number (726998976).

Almost surely, 2^34379384040 is an apocalyptic number.

34379384040 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 34379384040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58159918080).

34379384040 is an abundant number, since it is smaller than the sum of its proper divisors (81940452120).

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

34379384040 is a wasteful number, since it uses less digits than its factorization.

34379384040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70445 (or 70432 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 34379384040 in words is "thirty-four billion, three hundred seventy-nine million, three hundred eighty-four thousand, forty".