34799833680 has 320 divisors, whose sum is σ = 118360424448. Its totient is φ = 8420106240.

The previous prime is 34799833669. The next prime is 34799833687. The reversal of 34799833680 is 8633899743.

It is a super-2 number, since 2×34799833680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34799833687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63619167 + ... + 63619713.

Almost surely, 2^34799833680 is an apocalyptic number.

34799833680 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 34799833680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59180212224).

34799833680 is an abundant number, since it is smaller than the sum of its proper divisors (83560590768).

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

34799833680 is a wasteful number, since it uses less digits than its factorization.

34799833680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 34799833680 in words is "thirty-four billion, seven hundred ninety-nine million, eight hundred thirty-three thousand, six hundred eighty".