34983896640 has 448 divisors, whose sum is σ = 142235578368. Its totient is φ = 7072358400.

The previous prime is 34983896639. The next prime is 34983896681. The reversal of 34983896640 is 4669838943.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2728645 + ... + 2741435.

Almost surely, 2^34983896640 is an apocalyptic number.

34983896640 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 34983896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71117789184).

34983896640 is an abundant number, since it is smaller than the sum of its proper divisors (107251681728).

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

34983896640 is a wasteful number, since it uses less digits than its factorization.

34983896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12866 (or 12856 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 34983896640 in words is "thirty-four billion, nine hundred eighty-three million, eight hundred ninety-six thousand, six hundred forty".