34813814904000 has 1568 divisors, whose sum is σ = 145887340472640. Its totient is φ = 8148252672000.

The previous prime is 34813814903999. The next prime is 34813814904007. The reversal of 34813814904000 is 40941831843.

34813814904000 is a `hidden beast` number, since 3 + 4 + 81 + 3 + 81 + 4 + 90 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34813814904007) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1860398644 + ... + 1860417356.

Almost surely, 2^{34813814904000} is an apocalyptic number.

34813814904000 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 34813814904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72943670236320).

34813814904000 is an abundant number, since it is smaller than the sum of its proper divisors (111073525568640).

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

34813814904000 is a wasteful number, since it uses less digits than its factorization.

34813814904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18798 (or 18763 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 34813814904000 in words is "thirty-four trillion, eight hundred thirteen billion, eight hundred fourteen million, nine hundred four thousand".