34056793440 has 480 divisors, whose sum is σ = 125426036736. Its totient is φ = 8692945920.

The previous prime is 34056793439. The next prime is 34056793451. The reversal of 34056793440 is 4439765043.

34056793440 is a `hidden beast` number, since 3 + 40 + 567 + 9 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41380869 + ... + 41381691.

Almost surely, 2^34056793440 is an apocalyptic number.

34056793440 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 34056793440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62713018368).

34056793440 is an abundant number, since it is smaller than the sum of its proper divisors (91369243296).

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

34056793440 is a wasteful number, since it uses less digits than its factorization.

34056793440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 34056793440 in words is "thirty-four billion, fifty-six million, seven hundred ninety-three thousand, four hundred forty".