34680507742944 has 864 divisors, whose sum is σ = 124228016640000. Its totient is φ = 8978734448640.

The previous prime is 34680507742873. The next prime is 34680507742981. The reversal of 34680507742944 is 44924770508643.

34680507742944 is a `hidden beast` number, since 3 + 4 + 6 + 80 + 507 + 7 + 4 + 2 + 9 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3594202632 + ... + 3594212280.

Almost surely, 2^{34680507742944} is an apocalyptic number.

34680507742944 is a gapful number since it is divisible by the number (34) 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 34680507742944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62114008320000).

34680507742944 is an abundant number, since it is smaller than the sum of its proper divisors (89547508897056).

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

34680507742944 is a wasteful number, since it uses less digits than its factorization.

34680507742944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9936 (or 9908 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 34680507742944 in words is "thirty-four trillion, six hundred eighty billion, five hundred seven million, seven hundred forty-two thousand, nine hundred forty-four".