34973405640 has 288 divisors, whose sum is σ = 124416190080. Its totient is φ = 8834500224.

The previous prime is 34973405591. The next prime is 34973405641. The reversal of 34973405640 is 4650437943.

34973405640 is a `hidden beast` number, since 3 + 49 + 7 + 3 + 40 + 564 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34973405641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3503937 + ... + 3513903.

It is an arithmetic number, because the mean of its divisors is an integer number (432000660).

Almost surely, 2^34973405640 is an apocalyptic number.

34973405640 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 34973405640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62208095040).

34973405640 is an abundant number, since it is smaller than the sum of its proper divisors (89442784440).

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

34973405640 is a wasteful number, since it uses less digits than its factorization.

34973405640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10031 (or 9996 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 34973405640 in words is "thirty-four billion, nine hundred seventy-three million, four hundred five thousand, six hundred forty".