34408788120 has 512 divisors, whose sum is σ = 140590080000. Its totient is φ = 7306371072.

The previous prime is 34408788107. The next prime is 34408788143. The reversal of 34408788120 is 2188780443.

34408788120 is a `hidden beast` number, since 3 + 440 + 8 + 7 + 88 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10151386 + ... + 10154774.

It is an arithmetic number, because the mean of its divisors is an integer number (274590000).

Almost surely, 2^34408788120 is an apocalyptic number.

34408788120 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 34408788120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70295040000).

34408788120 is an abundant number, since it is smaller than the sum of its proper divisors (106181291880).

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

34408788120 is a wasteful number, since it uses less digits than its factorization.

34408788120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 34408788120 in words is "thirty-four billion, four hundred eight million, seven hundred eighty-eight thousand, one hundred twenty".