34961938880 has 448 divisors, whose sum is σ = 101630951424. Its totient is φ = 11304960000.

The previous prime is 34961938873. The next prime is 34961938889. The reversal of 34961938880 is 8883916943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34961938889) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87186680 + ... + 87187080.

Almost surely, 2^34961938880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34961938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50815475712).

34961938880 is an abundant number, since it is smaller than the sum of its proper divisors (66669012544).

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

34961938880 is a wasteful number, since it uses less digits than its factorization.

34961938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 59.

The spelling of 34961938880 in words is "thirty-four billion, nine hundred sixty-one million, nine hundred thirty-eight thousand, eight hundred eighty".