34870442880 has 512 divisors, whose sum is σ = 138129868800. Its totient is φ = 7285800960.

The previous prime is 34870442861. The next prime is 34870442903. The reversal of 34870442880 is 8824407843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19043565 + ... + 19045395.

It is an arithmetic number, because the mean of its divisors is an integer number (269784900).

Almost surely, 2^34870442880 is an apocalyptic number.

34870442880 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 34870442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69064934400).

34870442880 is an abundant number, since it is smaller than the sum of its proper divisors (103259425920).

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

34870442880 is a wasteful number, since it uses less digits than its factorization.

34870442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 34870442880 in words is "thirty-four billion, eight hundred seventy million, four hundred forty-two thousand, eight hundred eighty".