34379338929572 has 144 divisors (see below), whose sum is σ = 77895607039488. Its totient is φ = 13145947799040.

The previous prime is 34379338929517. The next prime is 34379338929583. The reversal of 34379338929572 is 27592983397343.

It is a happy number.

It is a super-2 number, since 2×34379338929572² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (74) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34379338929572.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65059928 + ... + 65586224.

It is an arithmetic number, because the mean of its divisors is an integer number (540941715552).

Almost surely, 2^{34379338929572} 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 34379338929572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38947803519744).

34379338929572 is an abundant number, since it is smaller than the sum of its proper divisors (43516268109916).

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

34379338929572 is a wasteful number, since it uses less digits than its factorization.

34379338929572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527186 (or 527177 counting only the distinct ones).

The product of its digits is 1851776640, while the sum is 74.

The spelling of 34379338929572 in words is "thirty-four trillion, three hundred seventy-nine billion, three hundred thirty-eight million, nine hundred twenty-nine thousand, five hundred seventy-two".