34537846980 has 576 divisors, whose sum is σ = 128701440000. Its totient is φ = 6840142848.

The previous prime is 34537846933. The next prime is 34537847027. The reversal of 34537846980 is 8964873543.

It is an interprime number because it is at equal distance from previous prime (34537846933) and next prime (34537847027).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 34537846980.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 144509701 + ... + 144509939.

It is an arithmetic number, because the mean of its divisors is an integer number (223440000).

Almost surely, 2^34537846980 is an apocalyptic number.

34537846980 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 34537846980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64350720000).

34537846980 is an abundant number, since it is smaller than the sum of its proper divisors (94163593020).

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

34537846980 is a wasteful number, since it uses less digits than its factorization.

34537846980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 34537846980 in words is "thirty-four billion, five hundred thirty-seven million, eight hundred forty-six thousand, nine hundred eighty".