34630816656240 has 640 divisors, whose sum is σ = 138644826163200. Its totient is φ = 7781046312960.

The previous prime is 34630816656229. The next prime is 34630816656251. The reversal of 34630816656240 is 4265661803643.

34630816656240 is a `hidden beast` number, since 3 + 4 + 6 + 3 + 0 + 8 + 1 + 6 + 6 + 5 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34630816656229) and next prime (34630816656251).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1616816251 + ... + 1616837669.

It is an arithmetic number, because the mean of its divisors is an integer number (216632540880).

Almost surely, 2^{34630816656240} is an apocalyptic number.

34630816656240 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 34630816656240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69322413081600).

34630816656240 is an abundant number, since it is smaller than the sum of its proper divisors (104014009506960).

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

34630816656240 is a wasteful number, since it uses less digits than its factorization.

34630816656240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23262 (or 23250 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 34630816656240 in words is "thirty-four trillion, six hundred thirty billion, eight hundred sixteen million, six hundred fifty-six thousand, two hundred forty".