34831399680 has 720 divisors, whose sum is σ = 155422358784. Its totient is φ = 7236034560.

The previous prime is 34831399619. The next prime is 34831399703. The reversal of 34831399680 is 8699313843.

34831399680 is a `hidden beast` number, since 3 + 483 + 13 + 99 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 7981179 + ... + 7985541.

Almost surely, 2^34831399680 is an apocalyptic number.

34831399680 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 34831399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77711179392).

34831399680 is an abundant number, since it is smaller than the sum of its proper divisors (120590959104).

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

34831399680 is a wasteful number, since it uses less digits than its factorization.

34831399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4414 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 34831399680 in words is "thirty-four billion, eight hundred thirty-one million, three hundred ninety-nine thousand, six hundred eighty".