34349532053760 has 2880 divisors, whose sum is σ = 157423902451200. Its totient is φ = 7089363025920.

The previous prime is 34349532053743. The next prime is 34349532053873. The reversal of 34349532053760 is 6735023594343.

34349532053760 is a `hidden beast` number, since 3 + 4 + 3 + 49 + 5 + 3 + 2 + 0 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 = 34349532053697 and 34349532053706.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 108358145122 + ... + 108358145438.

It is an arithmetic number, because the mean of its divisors is an integer number (54661077240).

Almost surely, 2^{34349532053760} is an apocalyptic number.

34349532053760 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 34349532053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78711951225600).

34349532053760 is an abundant number, since it is smaller than the sum of its proper divisors (123074370397440).

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

34349532053760 is a wasteful number, since it uses less digits than its factorization.

34349532053760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 54.

The spelling of 34349532053760 in words is "thirty-four trillion, three hundred forty-nine billion, five hundred thirty-two million, fifty-three thousand, seven hundred sixty".