34400551640 has 192 divisors, whose sum is σ = 96092568000. Its totient is φ = 10852448256.

The previous prime is 34400551597. The next prime is 34400551649. The reversal of 34400551640 is 4615500443.

It is a junction number, because it is equal to n+sod(n) for n = 34400551597 and 34400551606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400551649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17649386 + ... + 17651334.

It is an arithmetic number, because the mean of its divisors is an integer number (500482125).

Almost surely, 2^34400551640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34400551640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48046284000).

34400551640 is an abundant number, since it is smaller than the sum of its proper divisors (61692016360).

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

34400551640 is a wasteful number, since it uses less digits than its factorization.

34400551640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 34400551640 in words is "thirty-four billion, four hundred million, five hundred fifty-one thousand, six hundred forty".