34464893188920 has 32 divisors (see below), whose sum is σ = 103394679567120. Its totient is φ = 9190638183680.

The previous prime is 34464893188853. The next prime is 34464893188987. The reversal of 34464893188920 is 2988139846443.

It is an interprime number because it is at equal distance from previous prime (34464893188853) and next prime (34464893188987).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143603721501 + ... + 143603721740.

Almost surely, 2^{34464893188920} is an apocalyptic number.

34464893188920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34464893188920 is an abundant number, since it is smaller than the sum of its proper divisors (68929786378200).

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

34464893188920 is a wasteful number, since it uses less digits than its factorization.

34464893188920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287207443255 (or 287207443251 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 69.

The spelling of 34464893188920 in words is "thirty-four trillion, four hundred sixty-four billion, eight hundred ninety-three million, one hundred eighty-eight thousand, nine hundred twenty".