34701932840640 has 448 divisors, whose sum is σ = 120502971388800. Its totient is φ = 8409724747776.

The previous prime is 34701932840639. The next prime is 34701932840657. The reversal of 34701932840640 is 4604823910743.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258730716 + ... + 258864804.

It is an arithmetic number, because the mean of its divisors is an integer number (268979846850).

Almost surely, 2^{34701932840640} is an apocalyptic number.

34701932840640 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 34701932840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60251485694400).

34701932840640 is an abundant number, since it is smaller than the sum of its proper divisors (85801038548160).

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

34701932840640 is a wasteful number, since it uses less digits than its factorization.

34701932840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134444 (or 134434 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 34701932840640 in words is "thirty-four trillion, seven hundred one billion, nine hundred thirty-two million, eight hundred forty thousand, six hundred forty".