34745388540 has 96 divisors (see below), whose sum is σ = 102610368000. Its totient is φ = 8760390912.

The previous prime is 34745388533. The next prime is 34745388547. The reversal of 34745388540 is 4588354743.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34745388533) and next prime (34745388547).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34745388547) 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, 550321 + ... + 610199.

It is an arithmetic number, because the mean of its divisors is an integer number (1068858000).

Almost surely, 2^34745388540 is an apocalyptic number.

34745388540 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 34745388540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51305184000).

34745388540 is an abundant number, since it is smaller than the sum of its proper divisors (67864979460).

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

34745388540 is a wasteful number, since it uses less digits than its factorization.

34745388540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60419 (or 60417 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 51.

The spelling of 34745388540 in words is "thirty-four billion, seven hundred forty-five million, three hundred eighty-eight thousand, five hundred forty".