34648283670 has 576 divisors, whose sum is σ = 118242478080. Its totient is φ = 6415718400.

The previous prime is 34648283669. The next prime is 34648283671. The reversal of 34648283670 is 7638284643.

It is an interprime number because it is at equal distance from previous prime (34648283669) and next prime (34648283671).

It is a super-2 number, since 2×34648283670² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34648283671) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 84714426 + ... + 84714834.

It is an arithmetic number, because the mean of its divisors is an integer number (205282080).

Almost surely, 2^34648283670 is an apocalyptic number.

34648283670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34648283670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59121239040).

34648283670 is an abundant number, since it is smaller than the sum of its proper divisors (83594194410).

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

34648283670 is a wasteful number, since it uses less digits than its factorization.

34648283670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 34648283670 in words is "thirty-four billion, six hundred forty-eight million, two hundred eighty-three thousand, six hundred seventy".