34496363520 has 792 divisors, whose sum is σ = 133180603920. Its totient is φ = 8228044800.

The previous prime is 34496363509. The next prime is 34496363527. The reversal of 34496363520 is 2536369443.

34496363520 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 6 + 3 + 635 + 2 + 0 = 666.

It is a super-2 number, since 2×34496363520² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34496363527) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 841374700 + ... + 841374740.

Almost surely, 2^34496363520 is an apocalyptic number.

34496363520 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 34496363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66590301960).

34496363520 is an abundant number, since it is smaller than the sum of its proper divisors (98684240400).

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

34496363520 is a wasteful number, since it uses less digits than its factorization.

34496363520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 34496363520 in words is "thirty-four billion, four hundred ninety-six million, three hundred sixty-three thousand, five hundred twenty".