34487347120764 has 48 divisors (see below), whose sum is σ = 85205839305888. Its totient is φ = 10819330643968.

The previous prime is 34487347120717. The next prime is 34487347120771. The reversal of 34487347120764 is 46702174378443.

It is a super-2 number, since 2×34487347120764² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34487347120698 and 34487347120707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7991752 + ... + 11525744.

It is an arithmetic number, because the mean of its divisors is an integer number (1775121652206).

Almost surely, 2^{34487347120764} is an apocalyptic number.

34487347120764 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34487347120764 is an abundant number, since it is smaller than the sum of its proper divisors (50718492185124).

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

34487347120764 is a wasteful number, since it uses less digits than its factorization.

34487347120764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581854 (or 3581852 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 60.

The spelling of 34487347120764 in words is "thirty-four trillion, four hundred eighty-seven billion, three hundred forty-seven million, one hundred twenty thousand, seven hundred sixty-four".