34749680640 has 704 divisors, whose sum is σ = 126773821440. Its totient is φ = 8077639680.

The previous prime is 34749680599. The next prime is 34749680657. The reversal of 34749680640 is 4608694743.

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, 208081837 + ... + 208082003.

Almost surely, 2^34749680640 is an apocalyptic number.

34749680640 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 34749680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63386910720).

34749680640 is an abundant number, since it is smaller than the sum of its proper divisors (92024140800).

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

34749680640 is a wasteful number, since it uses less digits than its factorization.

34749680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 34749680640 in words is "thirty-four billion, seven hundred forty-nine million, six hundred eighty thousand, six hundred forty".