34828517376 has 221 divisors, whose sum is σ = 104484689431. Its totient is φ = 11609505792.

The previous prime is 34828517341. The next prime is 34828517387. The reversal of 34828517376 is 67371582843.

It is a happy number.

The square root of 34828517376 is 186624.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)² ⋅ (3!)¹⁰.

34828517376 is a `hidden beast` number, since 3 + 482 + 85 + 17 + 3 + 76 = 666.

It is a super-2 number, since 2×34828517376² (a number of 22 digits) contains 22 as substring.

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

It is a Duffinian number.

Its product of digits (6773760) is a multiple of the sum of its prime divisors (5).

It is an unprimeable number.

It is a polite number, since it can be written in 12 ways as a sum of consecutive naturals, for example, 11609505791 + 11609505792 + 11609505793.

Almost surely, 2^34828517376 is an apocalyptic number.

34828517376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34828517376 is the 186624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34828517376

34828517376 is an abundant number, since it is smaller than the sum of its proper divisors (69656172055).

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

34828517376 is an frugal number, since it uses more digits than its factorization.

34828517376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 5 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

34828517376 divided by its sum of digits (54) gives a cube (644972544 = 864³).

The spelling of 34828517376 in words is "thirty-four billion, eight hundred twenty-eight million, five hundred seventeen thousand, three hundred seventy-six".