34655608890 has 64 divisors (see below), whose sum is σ = 105617099520. Its totient is φ = 7921281600.

The previous prime is 34655608861. The next prime is 34655608891. The reversal of 34655608890 is 9880655643.

It is a happy number.

34655608890 is a `hidden beast` number, since 3 + 4 + 6 + 556 + 0 + 8 + 89 + 0 = 666.

It is a super-2 number, since 2×34655608890² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (34655608891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9166261 + ... + 9170040.

It is an arithmetic number, because the mean of its divisors is an integer number (1650267180).

Almost surely, 2^34655608890 is an apocalyptic number.

34655608890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34655608890 is an abundant number, since it is smaller than the sum of its proper divisors (70961490630).

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

34655608890 is a wasteful number, since it uses less digits than its factorization.

34655608890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18336324 (or 18336318 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

It can be divided in two parts, 34655 and 608890, that added together give a triangular number (643545 = T₁₁₃₄).

The spelling of 34655608890 in words is "thirty-four billion, six hundred fifty-five million, six hundred eight thousand, eight hundred ninety".