34404733440 has 1440 divisors, whose sum is σ = 156896707968. Its totient is φ = 6812467200.

The previous prime is 34404733439. The next prime is 34404733453. The reversal of 34404733440 is 4433740443.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 34404733395 and 34404733404.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 800110059 + ... + 800110101.

Almost surely, 2^34404733440 is an apocalyptic number.

34404733440 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 34404733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78448353984).

34404733440 is an abundant number, since it is smaller than the sum of its proper divisors (122491974528).

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

34404733440 is a wasteful number, since it uses less digits than its factorization.

34404733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 36.

The spelling of 34404733440 in words is "thirty-four billion, four hundred four million, seven hundred thirty-three thousand, four hundred forty".