34046953443360 has 2688 divisors, whose sum is σ = 145799600728320. Its totient is φ = 7401059942400.

The previous prime is 34046953443341. The next prime is 34046953443367. The reversal of 34046953443360 is 6334435964043.

34046953443360 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 6 + 9 + 534 + 43 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 34046953443297 and 34046953443306.

It is not an unprimeable number, because it can be changed into a prime (34046953443367) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 110902128327 + ... + 110902128633.

It is an arithmetic number, because the mean of its divisors is an integer number (54240922890).

Almost surely, 2^{34046953443360} is an apocalyptic number.

34046953443360 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 34046953443360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72899800364160).

34046953443360 is an abundant number, since it is smaller than the sum of its proper divisors (111752647284960).

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

34046953443360 is a wasteful number, since it uses less digits than its factorization.

34046953443360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 54.

The spelling of 34046953443360 in words is "thirty-four trillion, forty-six billion, nine hundred fifty-three million, four hundred forty-three thousand, three hundred sixty".