34443820440 has 96 divisors (see below), whose sum is σ = 114545779920. Its totient is φ = 8971409664.

The previous prime is 34443820423. The next prime is 34443820451. The reversal of 34443820440 is 4402834443.

34443820440 is a `hidden beast` number, since 3 + 4 + 443 + 8 + 204 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34443820395 and 34443820404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1097047 + ... + 1128006.

Almost surely, 2^34443820440 is an apocalyptic number.

34443820440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34443820440 is an abundant number, since it is smaller than the sum of its proper divisors (80101959480).

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

34443820440 is a wasteful number, since it uses less digits than its factorization.

34443820440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225113 (or 2225106 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 34443820440 in words is "thirty-four billion, four hundred forty-three million, eight hundred twenty thousand, four hundred forty".