34298379720 has 1024 divisors, whose sum is σ = 138848256000. Its totient is φ = 7440076800.

The previous prime is 34298379679. The next prime is 34298379743. The reversal of 34298379720 is 2797389243.

34298379720 is a `hidden beast` number, since 3 + 429 + 83 + 79 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 562268490 + ... + 562268550.

It is an arithmetic number, because the mean of its divisors is an integer number (135594000).

Almost surely, 2^34298379720 is an apocalyptic number.

34298379720 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 34298379720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69424128000).

34298379720 is an abundant number, since it is smaller than the sum of its proper divisors (104549876280).

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

34298379720 is a wasteful number, since it uses less digits than its factorization.

34298379720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 34298379720 in words is "thirty-four billion, two hundred ninety-eight million, three hundred seventy-nine thousand, seven hundred twenty".