34787980890 has 96 divisors (see below), whose sum is σ = 97479018000. Its totient is φ = 8556807168.

The previous prime is 34787980867. The next prime is 34787980891. The reversal of 34787980890 is 9808978743.

34787980890 is a `hidden beast` number, since 3 + 478 + 7 + 9 + 80 + 89 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5022415161 + 29765565729 = 70869^2 + 172527^2 .

It is a super-2 number, since 2×34787980890² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34787980891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1666236 + ... + 1686984.

Almost surely, 2^34787980890 is an apocalyptic number.

34787980890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34787980890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48739509000).

34787980890 is an abundant number, since it is smaller than the sum of its proper divisors (62691037110).

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

34787980890 is a wasteful number, since it uses less digits than its factorization.

34787980890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22208 (or 22205 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 34787980890 in words is "thirty-four billion, seven hundred eighty-seven million, nine hundred eighty thousand, eight hundred ninety".