34343379720 has 192 divisors, whose sum is σ = 120294720000. Its totient is φ = 8447224320.

The previous prime is 34343379691. The next prime is 34343379767. The reversal of 34343379720 is 2797334343.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9353485 + ... + 9357155.

It is an arithmetic number, because the mean of its divisors is an integer number (626535000).

Almost surely, 2^34343379720 is an apocalyptic number.

34343379720 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 34343379720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60147360000).

34343379720 is an abundant number, since it is smaller than the sum of its proper divisors (85951340280).

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

34343379720 is a wasteful number, since it uses less digits than its factorization.

34343379720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5700 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

The spelling of 34343379720 in words is "thirty-four billion, three hundred forty-three million, three hundred seventy-nine thousand, seven hundred twenty".