34325136384000 has 2688 divisors, whose sum is σ = 148129681969152. Its totient is φ = 6856704000000.

The previous prime is 34325136383933. The next prime is 34325136384079. The reversal of 34325136384000 is 48363152343.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 227318783925 + ... + 227318784075.

Almost surely, 2^{34325136384000} is an apocalyptic number.

34325136384000 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 34325136384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74064840984576).

34325136384000 is an abundant number, since it is smaller than the sum of its proper divisors (113804545585152).

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

34325136384000 is a wasteful number, since it uses less digits than its factorization.

34325136384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 34325136384000 in words is "thirty-four trillion, three hundred twenty-five billion, one hundred thirty-six million, three hundred eighty-four thousand".