34743813120 has 264 divisors, whose sum is σ = 120707496000. Its totient is φ = 9240330240.

The previous prime is 34743813107. The next prime is 34743813163. The reversal of 34743813120 is 2131834743.

34743813120 is a `hidden beast` number, since 3 + 474 + 38 + 131 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22993165 + ... + 22994675.

Almost surely, 2^34743813120 is an apocalyptic number.

34743813120 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 34743813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60353748000).

34743813120 is an abundant number, since it is smaller than the sum of its proper divisors (85963682880).

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

34743813120 is a wasteful number, since it uses less digits than its factorization.

34743813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 34743813120 in words is "thirty-four billion, seven hundred forty-three million, eight hundred thirteen thousand, one hundred twenty".