34083818496 has 1408 divisors, whose sum is σ = 140859801600. Its totient is φ = 7882997760.

The previous prime is 34083818423. The next prime is 34083818507. The reversal of 34083818496 is 69481838043.

34083818496 is a `hidden beast` number, since 340 + 8 + 38 + 184 + 96 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1099478001 + ... + 1099478031.

Almost surely, 2^34083818496 is an apocalyptic number.

34083818496 is a gapful number since it is divisible by the number (36) 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 34083818496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70429900800).

34083818496 is an abundant number, since it is smaller than the sum of its proper divisors (106775983104).

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

34083818496 is a wasteful number, since it uses less digits than its factorization.

34083818496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 34083818496 in words is "thirty-four billion, eighty-three million, eight hundred eighteen thousand, four hundred ninety-six".