34956665856 has 792 divisors, whose sum is σ = 126394160256. Its totient is φ = 9614868480.

The previous prime is 34956665833. The next prime is 34956665879. The reversal of 34956665856 is 65856665943.

It is an interprime number because it is at equal distance from previous prime (34956665833) and next prime (34956665879).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (139968000) is a multiple of the sum of its prime divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 34956665793 and 34956665802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 573060066 + ... + 573060126.

Almost surely, 2^34956665856 is an apocalyptic number.

34956665856 is a gapful number since it is divisible by the number (36) 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 34956665856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63197080128).

34956665856 is an abundant number, since it is smaller than the sum of its proper divisors (91437494400).

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

34956665856 is an equidigital number, since it uses as much as digits as its factorization.

34956665856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 120 counting only the distinct ones).

The product of its digits is 139968000, while the sum is 63.

The spelling of 34956665856 in words is "thirty-four billion, nine hundred fifty-six million, six hundred sixty-five thousand, eight hundred fifty-six".