34648798240 has 384 divisors, whose sum is σ = 101931540480. Its totient is φ = 10865664000.

The previous prime is 34648798211. The next prime is 34648798243. The reversal of 34648798240 is 4289784643.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34648798243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131744349 + ... + 131744611.

It is an arithmetic number, because the mean of its divisors is an integer number (265446720).

Almost surely, 2^34648798240 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 34648798240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50965770240).

34648798240 is an abundant number, since it is smaller than the sum of its proper divisors (67282742240).

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

34648798240 is a wasteful number, since it uses less digits than its factorization.

34648798240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 55.

The spelling of 34648798240 in words is "thirty-four billion, six hundred forty-eight million, seven hundred ninety-eight thousand, two hundred forty".