34404788160 has 336 divisors, whose sum is σ = 120635109504. Its totient is φ = 8998262784.

The previous prime is 34404788141. The next prime is 34404788161. The reversal of 34404788160 is 6188740443.

34404788160 is a `hidden beast` number, since 3 + 4 + 40 + 478 + 81 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34404788161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38963079 + ... + 38963961.

It is an arithmetic number, because the mean of its divisors is an integer number (359033064).

Almost surely, 2^34404788160 is an apocalyptic number.

34404788160 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 34404788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60317554752).

34404788160 is an abundant number, since it is smaller than the sum of its proper divisors (86230321344).

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

34404788160 is a wasteful number, since it uses less digits than its factorization.

34404788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 34404788160 in words is "thirty-four billion, four hundred four million, seven hundred eighty-eight thousand, one hundred sixty".