34920160943616 has 960 divisors, whose sum is σ = 113623881624000. Its totient is φ = 10583282810880.

The previous prime is 34920160943587. The next prime is 34920160943663. The reversal of 34920160943616 is 61634906102943.

It is a happy number.

34920160943616 is a `hidden beast` number, since 3 + 4 + 9 + 2 + 0 + 16 + 0 + 9 + 4 + 3 + 616 = 666.

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 95 ways as a sum of consecutive naturals, for example, 61371108580 + ... + 61371109148.

It is an arithmetic number, because the mean of its divisors is an integer number (118358210025).

Almost surely, 2^{34920160943616} is an apocalyptic number.

34920160943616 is a gapful number since it is divisible by the number (36) 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 34920160943616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56811940812000).

34920160943616 is an abundant number, since it is smaller than the sum of its proper divisors (78703720680384).

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

34920160943616 is a wasteful number, since it uses less digits than its factorization.

34920160943616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 34920160943616 in words is "thirty-four trillion, nine hundred twenty billion, one hundred sixty million, nine hundred forty-three thousand, six hundred sixteen".