34760408640 has 224 divisors, whose sum is σ = 117150001920. Its totient is φ = 8702263296.

The previous prime is 34760408609. The next prime is 34760408647. The reversal of 34760408640 is 4680406743.

It is a junction number, because it is equal to n+sod(n) for n = 34760408592 and 34760408601.

It is not an unprimeable number, because it can be changed into a prime (34760408647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7064101 + ... + 7069019.

It is an arithmetic number, because the mean of its divisors is an integer number (522991080).

Almost surely, 2^34760408640 is an apocalyptic number.

34760408640 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 34760408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58575000960).

34760408640 is an abundant number, since it is smaller than the sum of its proper divisors (82389593280).

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

34760408640 is a wasteful number, since it uses less digits than its factorization.

34760408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5389 (or 5379 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 34760408640 in words is "thirty-four billion, seven hundred sixty million, four hundred eight thousand, six hundred forty".