34851899496960 has 3360 divisors, whose sum is σ = 165320697548160. Its totient is φ = 6961833639936.

The previous prime is 34851899496919. The next prime is 34851899496977. The reversal of 34851899496960 is 6969499815843.

34851899496960 is a `hidden beast` number, since 3 + 4 + 8 + 518 + 9 + 9 + 4 + 9 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 34851899496960.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 22587101949 + ... + 22587103491.

It is an arithmetic number, because the mean of its divisors is an integer number (49202588556).

Almost surely, 2^{34851899496960} is an apocalyptic number.

34851899496960 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 34851899496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82660348774080).

34851899496960 is an abundant number, since it is smaller than the sum of its proper divisors (130468798051200).

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

34851899496960 is a wasteful number, since it uses less digits than its factorization.

34851899496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 3627970560, while the sum is 81.

The spelling of 34851899496960 in words is "thirty-four trillion, eight hundred fifty-one billion, eight hundred ninety-nine million, four hundred ninety-six thousand, nine hundred sixty".