34856640000 has 1800 divisors, whose sum is σ = 165768843240. Its totient is φ = 6967296000.

The previous prime is 34856639999. The next prime is 34856640011. The reversal of 34856640000 is 4665843.

34856640000 is a `hidden beast` number, since 3 + 4 + 8 + 5 + 6 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1834559991 + ... + 1834560009.

Almost surely, 2^34856640000 is an apocalyptic number.

34856640000 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 34856640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82884421620).

34856640000 is an abundant number, since it is smaller than the sum of its proper divisors (130912203240).

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

34856640000 is a wasteful number, since it uses less digits than its factorization.

34856640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 34856640000 in words is "thirty-four billion, eight hundred fifty-six million, six hundred forty thousand".